Nothing against Nosler Partition bullets I've used them often, but I find other premium bullets are easier to dial in. In Barnes bullets I'd go lighter honestly, up the velocites and still have the same or better effect as a 180 grain heavier traditional bullets. I would use the 165-168 grain TTSX or the 175 grain LRX over the 180 grain TSX. The LRX bullet will expand better at slower velocites than any other Barnes bullet, and a TTSX bullet will expand better than a TSX.
I'm assuming Hogdon or IMR powders. I think H4831(SC) or IMR 4831 will be your best powder with 180 grain. Then with lighter bullets down to 150 grain IMR 4350 (I have better results with than H4350 in my .300 H&H). RL22 more than likely will produce the highest velocites with 180+ bullets, but it is more temperature sensitive than the other powders you are mentioning. So even if I give up velocity I would still choose the more temp insensitive powder. You shouldn't run into pressure issues hunting in MT from loads developed in GA, just decrease velocites.