To get unbanned, you will either need to wait a couple of weeks, or reset your dynamic IP address if you have one.
The tips in this article will serve you well on omegle. Chatrandom: Basically an omegle clone, with a similar ratio of guys to girls.
It works best in the evenings (US eastern Standard time to Pacific time), and at weekends.
It has a no-nudity policy -though this is not very well moderated at times- and it will bounce you to the ‘unmoderated’ section if you get banned, where the ratio of girls to guys is far, far worse (1 in 50 to 1 in 100 at times).
Chatroulette is a gold mine for the exhibitionist who knows how to keep his bishop in his pants, and how to bounce to skype!