Both would work. 7 has less recoil, but 300 wins in every single other catagory when its an apples to apples comparison...
High b.c. to high b.c. -300 (for 6-700 yds you don't need high b.c. tho)
Largest bullet selection to fit any need -300
Momentum catagory is also cornered by the 300
Use a muzzle break if recoil is a concern, & you just plain & simple walk all over the 7mm.
Unless somebody recently came out with yet another bullet for the 7mm to try to compete against the big 30's there's just no contest.
Depending on your situation, either could best the other with this statistic or that, depending on how the stats are used.
There are plenty of perponents for each side of the fence. Each figures thier side of the fence is the right side.
It all comes down to personal preferance. Pick one that suits your personal needs, & hunting style, & be happy with it for its positive characteristics in your chosen criteria.
Both will work, as previously stated, but I'm a 30 cal diehard. Just never been a fan of 7mm's in any configuration. Sorry.