A 223 would be a better choice. Ammo will be cheaper and if you choose a rifle with a 1-7 or 1-8 barrel, you can shoot heavier bullets that will shoot better at longer ranges.
A 22-250 will use almost twice the powder of a 223 and even if you are reloading, powder costs are one of the most significant components of your loads.
I spend a hell of a lot more on bullets than powder. Also,
If you're gonna shoot 75gr bullets in 223, I wouldn't start at 25gr of Varget.