MT has some good opportunities, but one thing you might want to consider is jumping down to WY. They have way, way more goats and you can pick up cheap doe tags to either supplement your buck tag or to just make a cheap option if a guy just wants the experience without spending much money or gathering points.
MT doe tags are $205 and not that many are issued. WY doe tags are $34 and they are much more plentiful.
The big downside is the drive, it's a long way to some of the good hunting in WY.