Are you going to smith this yourself? If not, that bartlein barrel is about as good as it gets if the price meets your pocketbook.
Bullet weights... heh
123 Hornady, 129, hornady, 130 berger, 140 several...
Barrel length and weight... For handi-hunting I would actually go with a 20" barrel, yes you will lose a little bit of velocity but not too much really. A #3 or #4 would certainly get it done.