If you use a V max you are going to mess up a lot of fur. I've never shot a 22-250 but have shot a lot of .222 with around 3/4 of the 22-250 velocity. I'd use a Deer bullet, something with controlled expansion that doesn't fragment. Old school pointed soft point bullets usually are hole in hole out when I shoot a Fox. There are even better bullets around now, I just happen to have a lifetime supply of old school Norma pointed soft point boat tail bullets to reload.

Exploding animals may get old after the first few OH's and AH's.