Hello!
From your terminology of calling it a "Debt Snowball" I'm assuming that your plan may have something to do with Dave Ramsey. If it does, then here's what he has to say about it:
Close Your Cards
QUESTION: Tom has 25 credit cards with no debt. Is it harmful to close them out?
ANSWER: Its only harmful to close the accounts if you worship at the altar of the FICO score. Closing credit cards lowers your FICO score. The FICO is an I-love-debt score. You have to go into debt to get it, so if youre not borrowing money, who cares how low it gets? Close them out!
My DH and I did the "Debt Snowball" after attending FPU just over year ago and it changed our lives. We are now out of debt, except for the mortgage. It really brings a sense of freedom.
If you aren't using that terminology because of DR, sorry for my assumptions! You really should Google him for some good info!
Good luck to you!