You really can't go wrong with either one, that said, the 7mm Rem Mag is better in the sense that you will get more speed and obviously a bigger punch on your target for hunting purposes, I am sure paper or steel font feel the difference. Yes it uses more powder, but it goes faster, and NO, the 280 AI will not match the capabilities of the 7 mag, unless the rifle comes with fairy dust or a magic wand.
If you are sensitive to recoil, the difference ain't much really, if any. On both cartridges with a 26" barrell which is what you should get on which ever cartridge you decide, the recoil won't really matter. I've shot 24" 280 Rem, my buddy's 22" 30-06, my 26" 7 Rem Mag, my brothers 22" 7mm SAUM and can't tell one from the other.
Recoil is part of the fun of shooting. After all this mumbling, the 7 Rem mag is better, period.