I used to have a 15" .308 barrel on my Encore. The recoil was stout, but no more than a really hot 44 mag. The Encore in pistol format is heavy, especially when you add some Warne Maxima bases and rings and a handgun scope. That helps tame some of the recoil. Definately not an easy gun to shoot standing unsupported.
From what I've heard, never fired one, the 7-08 has less recoil than the .308. I bet bullet selection has a lot to do with it. I would imagine that the recoil wouldn't be as much, and in that case it would be more tolerable. Mine printed MOA groups at 100 yards regularly, they're all supposed to, that's T/C's claim.
I'd say go for it.
Ranger413