I think a 7mm Rem Mag has about the same amount of recoil as a 30-06 given all other factors are the same (same weight rifle, similar stock design, shooting 160-165g bullets, etc.) so that should not affect your decision. Also, they are pretty close (.284" vs. .308") so I doubt any animal will notice much difference when hit with either round. The 7 will probably shoot a tad flatter but unless you're shooting past 300 that will matter very little too. So either caliber is a good choice in my opinion.

Savage makes a bolt with a removable mag. So does Remington, Browning (not quite as good as the mag attaches to the floor plate), Tikka and Sako. If I had my choice I'd buy a Sako, followed by a Tikka, then probably the Remington, Browning, or Savage. Probably a few others that have detachable mags but that was a key feature I insisted upon when I bought my Tikka. Some day I'll upgrade to the Sako 85 but I just can't justify the extra $600 when my Tikka shoots MOA out of the box so I'll keep it for a while I guess.

Good luck and let us know what you end up getting.