Keep that good 7mm rem. mag. and buy a 8mm mag. or a 375!
The 375 is best choice if you ever plan to go to Africa. Buy A-Square bullets, the "dead-tough or monolithic solid."
If you like the 338 go to the 338X06! Or the 338 WM. The 338X06 would be a smaller bolt face size. And, by all means get a "Limg-saver" recoil pad.