If you can handle the recoil of a 300 no problem, you should be able to handle a 338 in the same rifle.
I owned a 300 win, 338 win, and a 375 in the same exact rifle. The 338 kicked a little more than the 300 and the 375 kicked a little more than the 338. Then i shot a 30-06 in a savage rifle and it hurt more than any of those.
I personally like the 338 more than the 300.
