RE: Which .243 ?
I have a .243 in the Remington 700 BDL. Remington barrels are heavier than most other brands and in the smaller calibers that extra girth really helps out. I adjusted my trigger and almost every load I've worked up shoots 3/4-1 inch. A few even better than that. But the featherweight is delightful just to hold..soooo it's up to you.
Hold both rifles and see which feels the best. I'm partial to closed grips like found on Browning and Remington's. You just have to figure out what you like both perform admirably.