Are you hunting in a state that requires a .50 cal or larger for elk? Several of them will let you hunt deer with a .45 cal, but states like Colorado require a .50 cal or larger for elk, and no scopes or saboted bullets during the muzzleloader season.
Will you be hunting with a scope or sights? Full bore conicals, or saboted bullets? Just a couple things to consider.
Neither of your first two choices would be a rifle I'd want to take out west for hunting in the Rockies. I've got a light weight Stainless Steel NEF Huntsman that cost me $202 brand new, that thinks it's a White Rifle, that is a proven deer and elk killer. No animal has ever walked away from that rifle after the hammer was dropped. Not for more than 60 yards anyways!
Just need a rifle that fits you that you can shoot well. I certainly wouldn't buy any rifle that I haven't checked to see if it fits me first. I never liked the fit of the "dog leg" stocks on the Encores, and that RUM is also heavier than a dead preacher.
Only you can know what fits you, but there are a lot of other choices out there to consider.