I would say transfer as much balance as possible on to any other card that you can. In other words, get more cards at 0%. If it's $2000 then it's $2000 that you won't be paying interest on and that is a whole lot better than paying interest on $10k. Anything that you can do to a lower interest rate on anything is going to be better than what you have. If you can't handle credit cards though, then don't bother.
(The more cards that you open up, it will help you in one aspect, debt to available credit)
Do you have any family members that deal with an established credit union? Ask them to see if you can become a part of the credit union. Take care of it that way.
Borrowing against a home is a good deal too, it's cheap money.
It's all about finding cheaper money, point blank.
If you would like to continue trying to pursue things with your current card company. Lie to them. Explain to them that you just spoke with Brad at Discover Financial Services who offered you 3.9% on balance transfers, with an available credit limit of 15k. Ask them if there is any reason that you should not take them up on the offer to transfer your balance to Discover?