What you are looking for is a sporterized P14 action. Alot of these are kicking around either produced by BSA, or through someone like Century Arms.
The actions I use already have all the cosmetic work done including drilling and tapping. The trigger can be easily worked to about 2 1/2lbs and is very crisp and single stage. Of course, an aftermarket trigger makes this easier.
The actions/rifles were around $50 complete. I just threw away the barrel and stock. Visit a gun show or two. I am sure you will find something to your liking.
The total investment for my 300Wby was under $500 Cdn which included the action, barrel, install, and muzzle brake
. My 300Rum now in the works will cost about the same and will have a 36" barrel.
Another good source for actions are gunsmiths. I got mine from a gunsmith who had a few of these "junk" actions with no homes.
Unless you are handy will a grinder or have a milling maching and drill press, I would stay away from a full military action. The sporterized ones are plentiful.