The 300 win mag is just fine for deer and bear. It is not required for either but if you can handle it....not to big either.
The 7mm rem mag is also a fine choice, as of late to the 3006 statusas an all arounder for most NA game that doesn't pack serious recoillike some of the otherbig guns.
Either gun will handle anything upto the big bears for the NA biggame hunter.
I have taken Deer, Moose and Elk with both the 300 and 7mm rem mag, honestly didn't notice any practical differences...both extremely effective choices if the shooter does his/her part. Pick the right bullet for the task and put it where it counts....