The 7mm STW is a good all-around West caliber.The only problem with it is if you don't re-load you don't have many options with ammo.Federal makes two loadings one is 160 gr Nosler ACC-Bond(wich I would choose)and one 150 gr Nosler Soild Base Boat-tail.If iwas looking at a gun of that class of recoil,I would probaly step up to the 300 Win Mag or even a 300 Ultra Mag. or back to a 7mm Rem Mag.
I have used these calibers and they work well on all you metioned for animals and then some.
BBJ