Personally the 204 or 223 are the best overall rounds, and there are several advantages for the 223 over the 204. If you only use factory ammo 223 can be found everywhere, in tremendous variety, if you are a reloader once fired brass is cheap, and there is no shortage of supply or variety of .224 bullets, while bullets and brass for 204 aren't going to be as easily available, you are pretty much stuck with new brass for the 204, and new brass can be expensive.
I know how expensive new brass is for my 22-250, at least it uses the common .224 bullet, but also consider the 22-250 makes a lot of noise, and while recoil isn't excessive, if I was shooting 500 or more rounds a day, I'd rather be shooting the 223!