I'd recommend the Howa in stainless/synthetic in .270 caliber. Light kicking and very accurate round. It will kill deer sized game from up close out to 300 yards easily. The rifle usually goes for around $399.00. Then put yourself a decent scope on it like the Nikon Buckmaster for around $250.00 (includes rings and bases) and you're ready to go to the range.

Buy several boxes of ammo (different makes and bullet weights) and go to the range. Shoot from a bench position and shoot for groups. Once you find the brand and size of bullet that your rifle likes (smallest group), stick with it and sight in.

Then you're ready to go.