I was just going to suggest 6ARC. I'm not sure what the options are for .243 ammo, but historically it's been geared toward hunting. 6ARC has plenty of factory ammo loaded with bullets geared for LR shooting.Get a 6mm arc or 22 arc. I would go 6mm personally. My brother has This Savage and it’s a shooter!
This savage.
That or get a MPR From CA.
If factory ammo isn't a consideration, any of the BR family of cartridges would be ideal. 243 would be fine. 223 and 224 would also work, but not as well as a 6mm.