Journals with high acceptance and fast approval are likely predatory journals that do not do actual peer review, and just want large publication fees from you.  

Quality journals will take longer and have higher standards, but are more prestigious for the authors.  Be patient and submit to a quality journal.

That simply does not exist!

Here is the current ranking of entomology journals:

Rank,Full Journal Title,Total Cites,Journal Impact Factor,Eigenfactor Score,

1,Annual Review of Entomology,"11,445",12.867,0.010000,

2,SYSTEMATIC ENTOMOLOGY,"2,134",4.474,0.004450,

3,INSECT BIOCHEMISTRY AND MOLECULAR BIOLOGY,"7,130",3.756,0.008140,

4,JOURNAL OF PEST SCIENCE,"1,505",3.728,0.003960,

5,Current Opinion in Insect Science,665,3.660,0.002870,

6,Advances in Insect Physiology,710,3.552,0.001120,

7,PEST MANAGEMENT SCIENCE,"7,943",3.253,0.012860,

8,INSECT MOLECULAR BIOLOGY,"3,360",2.844,0.003640,

9,PESTICIDE BIOCHEMISTRY AND PHYSIOLOGY,"3,901",2.590,0.005010,

10,Arthropod Systematics & Phylogeny,271,2.357,0.000730,

11,BIOLOGICAL CONTROL,"6,628",2.307,0.007200,

12,JOURNAL OF INSECT PHYSIOLOGY,"8,119",2.227,0.008520,

13,APIDOLOGIE,"3,445",2.196,0.002860,

14,Insect Science,"1,313",2.026,0.003220,

15,BIOCONTROL,"1,919",1.918,0.003210,

16,Insect Conservation and Diversity,776,1.840,0.002500,

17,JOURNAL OF ECONOMIC ENTOMOLOGY,"11,739",1.824,0.009680,

18,MEDICAL AND VETERINARY ENTOMOLOGY,"2,813",1.809,0.003150,

19,Myrmecological News,468,1.805,0.001210,

20,ECOLOGICAL ENTOMOLOGY,"3,917",1.771,0.003510,

21,EXPERIMENTAL AND APPLIED ACAROLOGY,"3,318",1.760,0.003960,

22,BULLETIN OF ENTOMOLOGICAL RESEARCH,"3,284",1.758,0.002940,

23,JOURNAL OF STORED PRODUCTS RESEARCH,"2,313",1.750,0.001980,

24,AGRICULTURAL AND FOREST ENTOMOLOGY,"1,245",1.726,0.001720,

25,INSECTES SOCIAUX,"2,320",1.700,0.001840,

26,JOURNAL OF MEDICAL ENTOMOLOGY,"7,444",1.650,0.006890,

27,JOURNAL OF APPLIED ENTOMOLOGY,"2,698",1.641,0.003470,

28,ENVIRONMENTAL ENTOMOLOGY,"7,465",1.601,0.005780,

29,ARTHROPOD STRUCTURE & DEVELOPMENT,"1,186",1.546,0.001940,

30,ARCHIVES OF INSECT BIOCHEMISTRY AND PHYSIOLOGY,"1,806",1.530,0.001400,

31,JOURNAL OF VECTOR ECOLOGY,"1,197",1.473,0.002110,

32,SYSTEMATIC AND APPLIED ACAROLOGY,587,1.467,0.001680,

33,JOURNAL OF INSECT CONSERVATION,"1,705",1.462,0.003750,

34,Arthropod-Plant Interactions,708,1.441,0.002080,

35,JOURNAL OF APICULTURAL RESEARCH,"1,644",1.364,0.002290,

35,PHYSIOLOGICAL ENTOMOLOGY,"1,811",1.364,0.001480,

37,Austral Entomology,126,1.341,0.000470,

38,INSECT SYSTEMATICS & EVOLUTION,349,1.300,0.000580,

39,CANADIAN ENTOMOLOGIST,"3,163",1.264,0.001470,

40,ENTOMOLOGICAL SCIENCE,626,1.262,0.001400,

41,ANNALS OF THE ENTOMOLOGICAL SOCIETY OF AMERICA,"5,198",1.222,0.002840,

42,EUROPEAN JOURNAL OF ENTOMOLOGY,"1,698",1.167,0.002050,

43,ENTOMOLOGIA EXPERIMENTALIS ET APPLICATA,"5,042",1.162,0.004080,

44,BULLETIN OF INSECTOLOGY,706,1.051,0.001350,

45,JOURNAL OF ASIA-PACIFIC ENTOMOLOGY,852,1.046,0.001990,

46,JOURNAL OF ARACHNOLOGY,"1,449",0.988,0.001060,

47,JOURNAL OF INSECT BEHAVIOR,"1,543",0.970,0.001430,

48,FLORIDA ENTOMOLOGIST,"2,767",0.964,0.003480,

49,BIOCONTROL SCIENCE AND TECHNOLOGY,"1,823",0.919,0.002020,

49,INTERNATIONAL JOURNAL OF ACAROLOGY,808,0.919,0.001370,

51,APPLIED ENTOMOLOGY AND ZOOLOGY,"1,848",0.888,0.001340,

52,JOURNAL OF THE AMERICAN MOSQUITO CONTROL ASSOCIATION,"2,094",0.860,0.001250,

53,JOURNAL OF INSECT SCIENCE,"1,959",0.843,0.004310,

54,AFRICAN ENTOMOLOGY,494,0.813,0.000820,

55,Asian Myrmecology,103,0.800,0.000260,

56,JOURNAL OF HYMENOPTERA RESEARCH,314,0.793,0.000630,

57,JOURNAL OF PESTICIDE SCIENCE,673,0.762,0.000610,

58,NEOTROPICAL ENTOMOLOGY,"1,605",0.756,0.001980,

59,Entomologica Americana,62,0.750,0.000200,

60,JOURNAL OF APICULTURAL SCIENCE,222,0.722,0.000480,

61,ODONATOLOGICA,309,0.718,0.000270,

62,REVISTA BRASILEIRA DE ENTOMOLOGIA,"1,179",0.711,0.001490,

63,ANNALES ZOOLOGICI,637,0.699,0.000870,

63,SOCIOBIOLOGY,987,0.699,0.000900,

65,DEUTSCHE ENTOMOLOGISCHE ZEITSCHRIFT,557,0.697,0.000280,

66,ACAROLOGIA,864,0.667,0.000690,

67,INTERNATIONAL JOURNAL OF ODONATOLOGY,195,0.647,0.000370,

68,INTERNATIONAL JOURNAL OF PEST MANAGEMENT,714,0.640,0.000710,

69,ACTA ENTOMOLOGICA MUSEI NATIONALIS PRAGAE,341,0.632,0.000850,

70,AFRICAN INVERTEBRATES,232,0.622,0.000550,

71,TURKIYE ENTOMOLOJI DERGISI-TURKISH JOURNAL OF ENTOMOLOGY,245,0.612,0.000400,

72,ENTOMOLOGICAL RESEARCH,289,0.573,0.000310,

73,AQUATIC INSECTS,323,0.524,0.000180,

74,NEW ZEALAND ENTOMOLOGIST,172,0.517,0.000160,

75,ANNALES DE LA SOCIETE ENTOMOLOGIQUE DE FRANCE,"1,340",0.513,0.000560,

76,JOURNAL OF THE KANSAS ENTOMOLOGICAL SOCIETY,"1,105",0.505,0.000510,

77,COLEOPTERISTS BULLETIN,682,0.496,0.000650,

78,SOUTHWESTERN ENTOMOLOGIST,448,0.482,0.000590,

79,JOURNAL OF THE LEPIDOPTERISTS SOCIETY,456,0.474,0.000390,

80,JOURNAL OF ENTOMOLOGICAL SCIENCE,565,0.462,0.000420,

81,JAPANESE JOURNAL OF APPLIED ENTOMOLOGY AND ZOOLOGY,332,0.426,0.000170,

82,PAN-PACIFIC ENTOMOLOGIST,441,0.421,0.000300,

83,PROCEEDINGS OF THE ENTOMOLOGICAL SOCIETY OF WASHINGTON,"1,136",0.420,0.000320,

84,ENTOMOLOGIA GENERALIS,183,0.400,0.000140,

85,INTERNATIONAL JOURNAL OF TROPICAL INSECT SCIENCE,285,0.375,0.000390,

86,ENTOMOLOGICA FENNICA,217,0.300,0.000250,

87,TRANSACTIONS OF THE AMERICAN ENTOMOLOGICAL SOCIETY,620,0.270,0.000110,

88,JOURNAL OF THE ENTOMOLOGICAL RESEARCH SOCIETY,99,0.266,0.000310,

89,SHILAP-REVISTA DE LEPIDOPTEROLOGIA,162,0.264,0.000200,

90,REVISTA COLOMBIANA DE ENTOMOLOGIA,271,0.253,0.000460,

91,ORIENTAL INSECTS,259,0.238,0.000230,

92,ENTOMOLOGICAL NEWS,699,0.226,0.000220,

93,Egyptian Journal of Biological Pest Control,151,0.184,0.000190,

Journals with high acceptance and fast approval are likely predatory journals that do not do actual peer review, and just want large publication fees from you.  

Quality journals will take longer and have higher standards, but are more prestigious for the authors.  Be patient and submit to a quality journal.

High acceptance rate, high impact factor journals do not exist fortunately. Because if a journal has high acceptance rate it means it accepts even junk science. Take your time, do good science, improve your writing and it will pay off in the long run. Publishing in predatory journals will ruin your credibility. Avoid journals that promise a high acceptance rate at all costs.

Your requirements are something like searching for a perfect life partner with all the good qualities ! If you have urgency to have a paper very quickly  you have no choice but to go for not so good journals.