Case length would be a big one, depending on how long you seat the bullets. As Robinhood suggested, it might not even fit without a lot of machine work, and thinning either the bolt head or the receiver will weaken it.

Money may be no object, but for that long of a cartridge, it might not be possible. If you have to stick with the LONG cartridge anyway. You can get the same (or more) power from a 458 Win Mag, loaded full or loaded down. Pretty sure that will cycle in the Savage LA. Just won't be a rimmed boomer.