RE: best rifle for around $500
Tikka, Savage, Weatherby, are all good repitable rifles in your range.
If you haven't thought about a scope and need to save a little more dough for one look at Mossberg ATR, Stevens 200, and the Marlin XL7. These are all decent rifles in the $300 range and will leave you with cash for a scope.
Please don't get a scope rifle package or a scope in a bubble pack at Walmart.