I had an FN Mauser JC Higgins Model 50 that I really liked, chambered in 30-06. Might try a search for a JC Higgins Model 51 in .270, should be around that price point. You can update the trigger if you like.
"...politicians appreciate a phraseology that flatters the masses and offers an excellent opportunity not only for evading responsibility but also for crushing opponents in the name of the people." --- Joseph A. Schumpeter