Yes, you can and should collect swell tests samples when performing chemical or water modifications to verify swell potential has been reduced. Chemical injected soil samples could be air dried before loading in a swell testing machine to see if they retain the same volume after drying. You could do as moe333 suggests also, but most are unwilling to take this route due to the cost. If they are balking at over-ex and moisture conditioning, they will double balk at adding lime to the expense. I would add that 5 percent lime may not be enough. 7 inches PVR = very fat clay which would likely require 7 or 8 percent lime. You know you've reached the correct amount of lime when the PI of the lime-mixed clay reaches 15 or less (you've basically created select fill). This might require some trial and error in the field, but if you spec 8 percent, for example, and it works, I would not back down, even if you got PI's in the 12 or below range. Lime mixing is far from an exact science. Turn the knob about THIS far to get 7 percent and about THIS far to get 8 percent...
My experience is that the depth of chemical injection is the same s water modification (moisture conditioning or water injection). A 2 ft cap of non-expansive fill (flex base would be better than select fill, but more expensive) with 10 ft to 12 ft of improved soils should get you to about an 1 inch PVR in 95 percent of cases. There are select geologic formations and geographic locations where you might assume slightly deeper, but I would leave that to the judgment of the geotech. If you subscribe to theory that the active depth of moisture change is about 15 ft, you will have modified 12 to 14 ft of the profile. The remaining portion below the improved depth contributes the least to the overall PVR due to the overburden pressures. Plus you've created a thick pad of relatively impermeable material. I won't get into a debate about the active depth of moisture change, because there are differing opinions and theories, capillary rise,etc. I've never had an issue using the assumption of 15 ft (in most cases) nor have the senior engineers in my firm.