Living and hunting in Ohio for several decades, I was happy to hear the news allowing certain rifle cartridges to be used for deer hunting. I may have to carry my 50-70 next season. However, I have used a handgun for a couple of decades for Ohio white tailed deer and found in fine. I first started with a 44 Magnum but eventually settled on the 45 long Colt witha 260 grain boolit and a full load of black powder. If I do my part, the ammunition will do fine.
I understand the allure of the -70 cartridges, but in reality, a handgun cartridge from a handgun does fine. I would imagine a 45 long Colt froma rifle or carbine would be good also. Or the 44. I am not sure how I would be able to handle a 45-70 from a wheelchair, so I would recommend something with less recoil.
If you are in NE Ohio, I would be happy to lend you a rifle to see how it would work for you. Let me know.