I like the option that HIGH VOLTAGE mentioned. I have a 300 RUM that has been tough on both elk and moose. Mine is on a old 700 action with a 26" Lilja barrel. I was always using 180 Trophy Bonded bullets and had no issues at 3150, as best I can remember.
To do what might work for you, I might even consider a Savage action, if the mag well would work. A good remage barrel and if you know someone who has, or a person who would loan you a set of gages, it could be a decent package. fwiw.
if you go the rem action, I MAY have a wood stock (take off) that I can help you with your needs. Good luck.