Looks like your options abound. By "target" rifle, I assume you mean you want to go to the range (or the back 40 acres) and shoot for a while, and that you want to see some pretty good groups. I'm also assuming you do not mean very long range (for that caliber), so this focuses on the <200 meters, maybe stretch it to 300.
There are a lot of nice rifles that are not super expensive open to you for this mission. For this application, I would look at heavy barrel models, not light field guns. It will be easier on the shoulder, and the barrel will heat slower, so you are less likely to see a change in POA/POI if you shoot more during a shorter period of time. I'm sure there are exceptions to that, but if you are playing the odds, your probability of favorable outcome is higher with a "target" or heavy barrel model.
For manufacturers, I have direct experience with two. NEF Handi Rifle and CZ 527 Varmint. The NEF was tricky to develop a load for, and was only so-so with factory ammo. It seems to like lighter bullets, and you need to call customer service when they are open to get the twist rate. The CZ has a faster twist and is designed for heavier (but not the heaviest) bullets, but seems to shoot a lot of things well from my second rate reloads (mixed brass) to cheap factory ammo. It also cost about 3 times as much and has a better scope. Both are a lot of fun and hell on produce at the range (we shoot splodolope and splonions).
Since you are starting from the beginning, you would be well served to look very closely at the Savage Arms options. Personally, I don't like the Accutrigger (and really like the CZ single set trigger), but it's hard to argue with so many fans and so many favorable results and reviews in the field. Savage makes darned good accurate rifles, and if/when I buy a new one, they will be on the short list.
Last, it wasn't clear if you reload or not. If you do (or plan to start), it's easier to load for a bolt gun than a semi auto, and without an attachment of some sort, brass retrieval is easier too.
Good luck!