Haven't touched the barrel channel, the Rokstok I have it in now has good clearance. If I end up putting it back in a factory stock, I'd probably relieve the channel first.
No TMKs, only SMKs (which it loves). I doubt I'll really do any serious hunting with it, I really bought it to set up with the same form/fit/function as the 25 Pronghorn (25-300WSM) that I'm putting together, for extensive practice without barrel burning. The most hunting it will probably see is popping yotes in the back yard.