.22mag is a funny beast. They do tend to be not that accurate with a few notable exceptions. One of the most accurate you will come across is the old mossberg 640k, for some reason these things just shoot.
Realistically though, I would stick to the .223. Ammo cost wise you won't save that much with the .22mag, and the mag will never keep up with a .223 outside of 150, and not a look in at 200.
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