I have a Ruger .300 WM, and shoot 180 grain spitzers out of it. I dont think it has much more recoil than a 220 grain 30-06. Benchrest shooting will get old relatively quickly though.
It overlaps awful close to your 7mm mag. I would have a tough justification adding the .300 just for occ. target shooting. It would pay for alot of ammo.