For coyotes and varmints I doubt seriously you can get any hotter and longer range while still keeping a manageable, recoil less, affordable to shoot caliber than the 25/06. If you know how to shoot long ranges it will kill yotes and varmints farther than you can probably see them. For deer sized game if you stick with premium bullets over 100grns and realize it wasn't built for plowing lenghtwise through elk at 300yds, then it will make you a fine "dual purpose" rifle.
About as hot as you can get without going too a "magnum", consider it a "non-mag mag"!
RA