There are 68 journals with an impact factor between 1-2 listed on the 2015 Social Science Citation Index in the category Public, Environmental, and Occupational Health. I have no idea which might have a short revision period.
If you are asking for a journal that charges for publication, it means that the journal has an open access publication option. In this case, the following journals are the best, but I do not know their fees policy, this you could check for yourself:
BMC PUBLIC HEALTH
INTERNATIONAL JOURNAL OF ENVIRONMENTAL RESEARCH AND PUBLIC HEALTH
Whilst it infuriates me, BUT since it has just identified a downloadable copy of my 'hand-typed' 1981 thesis in pdf format:
"Google Scholar".
I have no idea where my only copy is! Even if I could find it would not read it in book format due to neuropathic pain in the cervical spine that is deteriorating rapidly!
Hence my interest in Free Access Papers/Journals
If you register with as many relevant Journals that will send volume indexes of published articles then you can identify articles of interest.
Then search on Google Scholar and you may find them although not all journals have signed up to this yet. You can also set up Google Scholar Alerts for regular updates on new articles associated with keywords; these go more broadly than their own collection and are more useful, especially since they identify articles in press as well as published.