Agree with Larry, either one, or even a plain old 30-30 to stay with cheaper factory barrels. Few people actually need a brake to shoot any of these easily, another cost savings. Only the 243 has to be on the Encore, the other two can be on Contenders as well. Also agree if you want to hunt P&V with one of these three the 243 is the choice. Cheap brass and tools make them cheap to load for. A heck of a lot of whitetail and mule deer (and other game) have been taken with all three well past your 200 yard need.
The 30-30AI is certainly a plus, so is the JDJ's, Super Bowers and lots of other choices, but none of them are really needed for your intended use.
Good luck hunting with whatever you decide to go with.
L.