GO with the 22-250. You won't have to worry about every needing to replace the barrel, it walks circles around the .223, and since you're not shooting boat loads of ammo., you don't need to worry about reloading.
Skip the Nikon coyote special scope. The idea of "circles" might look good on paper and when aiming at circles, but the good 'ol cross hairs work better for precise point of aim.