Not the best platform for distance shooting, and certainly not even in the top 10 in that price range. If you really really want something like an M14 I can understand that.
Have you checked around the webz for used EBR builds? There are usually quit a bit of folks that build these, spend a ton of money, and never shoot them before selling them. In my experience it's not all that difficult to shoot an M1A well, but they are very expensive to build, and fussy to keep going unless it's just a safe-to-bench gun.