Mr. White,
The .223 sized case can get a whole lot of schit done if twisted properly and any magazine size constraints are addressed.
I chose the 22-250 because I am lazy and nothing was required to make things work. New barrel + 75gr A-Max and I was rollin'.
I get 3,300fps with good accuracy and the 75grainers. You can get 3K'ish with those weight bullets and the .223 but that's standing on it.
If you're leaning toward a .223 and a 8" twist, you won't be disappointed. But I like the 22-250 more better. I have both.
Travis