Stingers and Velocitors are hyper-velocity rounds, which tend to be less accurate in most guns. You don't gain much power in handgun length barrels, either, because they use slow burning powders that aren't "finished" when the bullet leaves the barrel. Another negative, SIngle-Tens (and Sixes) are built plenty stout for .22, but hyper rounds are still rougher on them than high velocity rounds.
My Single-Six does well with any type of CCI Mini-Mag, and I usually use the hollow points. On a good day, I get 1 1/2 inch groups at 25 yards.
You should try several types of your "usual" ammo and see which does best in your Single-Ten. I'd think high velocity would be enough on groundhogs. If you have to go with the hyper, I'd use Velocitors with the 40 grain bullet, Stingers are only 32 grain.