this is my first hunting year and i use a 10 year old muzzle loader LOL. but its a fantastic gun, and a whole lot of fun. i am looking at getting a H&R rifle. i have heard good things about them and they are well in your price range. and im also a big remington fan, IMOi dont think you could go wrong with a remington.
just be sure you are comfortable with the gun you pick. dont let anyone talk you into buying something your not sure of.
good luck and i hope to see some pics of your monster bucks