If you will get a new rifle as noted, for hunting, then by all means IMHO dump the 308 idea and run 223. At least a 8 or 9 twist if you can manage it. Just fine for 200 yards. Even with a slower twist than that.
I have no clue what twists bolt guns come in these days though as I never was a bolt gun shooter, only the AR shooter in competition.
Its half the cost to feed for sure, won't beat you up at all, etc...