First off, welcome to the forum. Its good to have you here, and entering the sport. With your price range your open to a lot of excellent rifles right now.

Knight went out of business, but their service shop is open I was told. Knight sells some excellent rifles. Their Disc Extreme, Master Hunter, KRB-7, even a Wolverine or BigHorn. With the kind of ranges your talking , any of these rifles could handle that and a lot more.

Thompson Center also has some great rifles. The Triumph and Omega. They might be close to the top of your price range. Look for deals.

CVA sells an Accura. I would not hesitate to purchase one of them. The Apex with a Bergra barrel would also be a good choice.

For the ranges your talking, you could even use a traditional rifle.

Check the different on line sights. Look for deals. Also check GunBroker.com or AuctionArms.com and look for deals. There were some Knight Disc Extremes on there for $179.00 that is a 200 yard rifle without a doubt with good optics.