I've shot a good number of South Carolina deer w/ a 22-250 using Remington 55 grn psp.
Neck shots only as I try to refrain from making head shots.. I have only one head shot. Best shot is to get the deer quartered to you, place thr shot right in front of the shoulder. It has an opportunity to get the spine, windpipe, major blood vessels, lungs and heart using this setup. I've only had one run more than 75 yds, one to run about 75 yds, the rest piled up.. Most shots have been less than 200 yds w/ the majority being around 50 yds.
Not a typical caliber choice and disdained by some, but it is deadly if you do your part... Low recoil... try NO recoil