Just for a clarification on open/anonymous proxies... If you don't log into it, then it's probably going to trigger an open proxy check. If you do log into it, then it usually won't trigger an open proxy check.
But, as mentioned, if you're ban-evading, we can't help you here. You should contact the network (the ban message should tell you a website) and ask them why you were banned and if you can be unbanned.
Also, bans often last for 48 hours or less unless it was for a severe reason.
