I'd go with the .243 and a lighter bullet for shooting further out and bucking the wind!

Personally I would consider other Smaller,Faster Calibers also....the .204 is a fast,flat shooting and very accurate,the .17 Calibers seem to be well liked also as in .17 Remington,.17 Fireball and the newer .17 Hornet if and when ammo is available for it?