A moose, according to ballistic generators require 2000-2500 lbs of energy. A 270win with a 160gr bullet at 200yds is under 2000lbs. The wsm's would be great choice since your going to reload, you can load it lighter or hotter depending on what you going to hunt.
Unless you buy a ultralight rifle recoil isn't any worse than what your use to maybe less. The wsm's have a better following than you think, the 7mm wsm is popular in the competition world. The RSAUM hasn't been chambered for a few years and i can still buy brass for it and even have a bag or two stockpiled. And since you reload all you need is brass and your rifle can live on as long you can stand to load it.