Please obtain undisturbed sample of non-arable land using a core auger, determine the dry mass of the sample and then dry this mass by volume of the core, you will get the bulk density.
No matter how much % of stone in field, you can take the soil core samples (if they are smaller than the core size), and then remove all stones, rocks, dead and living roots. Or you can fine bigger soil cores to get the data.
you can use from volumetric ring. the best dimension for cylinder included: Length: 10 cm, and internal diameter: 5 cm. however, is vary depend on the specific location where the sample will be taken. Soil bulk density value from volumetric ring was computed as Equation:
Db =Wd/VC
Where Db is the dry bulk density (g cm-3), Wd is the weight of the dry soil (g), and VC is the volume of the soil cores (for length 10 cm and diameter 5 cm is 196.25 cm3).
The method of soil sampling should be the same as in arable soils, that is the core method. Now question is, how to operate the core for sampling. Mechanized core sampler may be useful.
As you are telling that, stones are more, then bigger mechanized samplers can be used.
Firstly, you may sample an undisturbed volume of soil, and then give a shape to obtain the correct volume. Afterwards, remove the bigger stones which you may not consider as part of the soil. then go for usual procedure for drying of the soil and determining of its BD.
There are several methods to evaluate the soil bulk density in your experimental area. The volumetric ring ( usually 5 cm x 5 cm - diameter and height) and the paraffin sealed are traditional ones. In the formar the sample will be collected in cylinders and in the latter as agregates. The last requires the sample impregnation (resin, paraffin, etc). There also is the scavation method. Other Methods such as microtomography and gamma-ray attenuation can also be used for detailed analyses of soil bulk density. However, as said by the other researchers, you should take care with the procedures of soil sampling and the size of the samples; both should be the same in the different experimental areas (arable and non arable). The samples also should be representatives. You can find information about the different Methods of soil bulk density measurement in the Methods of Soil Analysis. Part 4. Physical Methods. Dane and Topp (Eds.) - Soil Science Society of America Book Series.