For bear, deer, and elk, if you like the Rem. model 7 I'd go with the 308Win.
The 308Win. has the better ammo selection available for game like bear and elk, with
180gr. bullets (nosler partitions, core-lokt ultras, trophy bonded, etc.).
Not that the 7mm-08 can't do the job, but I think the 308 would be the better one for the
bigger/heavier game you noted.