I have owned all 3, and presently have the C2300. The phono section alone in the C2300 is worth the difference. I can tell you that the C2300 is the better performing amp in both sound and function.
I really liked my C2200, and on line level signals (SACD/CD) it would be a closer call. But when I play records the C2300 has superior detail and sound quality.
However, if you are never going to play vinyl, and cost is a factor the C220 is very, very nice for the money.