Inside of 300, you and the rifle itself are much more of a factor than the caliber. Anything 223 or bigger will suffice for target work to 300. And once you get into reloading, ammo availability and price becomes less of a concern. So pick your poison, I don't see you go wrong with any of them. But since you asked for a specific recommendation, I'll vote for the 243 since you like lighter recoiling cartridges. If shooting longer distances might be an option, 260 Rem is a great choice. My target rifle is a 260 Rem.
As for hunting, I would say 243 is good to 300 yards on deer, but probably not farther. That's a generalization, and some might disagree.