Something you didn't mention and I never thought to ask, are looking for something you can buy off the rack at your local gun shop, yes/no???
If that's the case a fast twist 22-250 so you can shoot the heavy for caliber bullets would be out, because nobody sells one like that from the factory. I think 1-9tw is fastest you can get any 22-250 factory gun.
If you're limited to buying a factory built gun, depending on how heavy a bullet you want to shoot, a .243 may not work very well either because I don't think any factory .243's come with a twist much faster than a 1-9. That would be fine for most of the 24cal bullets, just not the heavies.
You very well could be better off going with one of the 6.5's like the Creedmoor, 260 Remington,6.5x55 Swede. The 260 Rem. would be my personal favorite of the two. You can get a Tikka chambered in 260 Rem or 6.5x55 Swede. with a 1-8tw and either of those with a 1-8tw would cover a pretty wide range for you and certainly give you plenty of stopping power on wolves.