I once worked for CitiBank in collections and rest assured I came across many people in your situation. Unfortunately citibank did not offer such loans but they did offer programs that would lower your interest rate, sometimes down to 0% and eliminate all over the credit limit fees and late fees. But there is a catch: this program is only 6 months long.
If I were you I would consider a debt consolidator and make sure its a not for profit agency. Many banks won't deal with "for profit" debt consolidators.
Hope this helps some.