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.
Remember, many times what we view as a curse in the present turns out to be a blessing in the future. Don't worry about it a lot. Things have a way of working out. Trust me on this one. - - Uncle Bill Martino