Mypoints.com now has a CitiBank Visa offering 0% APR for the first 12 months, to include balance transfers to pay off another credit card. Read the fine print, don't be late on a payment as the fees are quite high. See if this plan would work.

1. Apply for the Mypoints card and find determine your credit limit.
2. Take your airline card and buy savings bonds to equal your Mypoints card limit.
3. Payoff the airline card with the Mypoints card.
4. Make a minimum payment each month for 12 months.
5. At the end of the 12 months, sell the bonds and payoff the Mypoints card or, if you can find another cheap card <2.5%, payoff off the Mypoints card with that card.

I haven't cashflowed the entire process, but if you had a cheap enough card, you could then cash in enough savings bonds each month to pay your mortage payment, buy the same amount of bonds each month and pay your credit card bill with your mortage payment.
I get numerous offers for cheap intro. rate credit cards, you would have to be under 2-2.5% to make it worthwhile. Of course, 0% is the best. After 24 months you would have a revolving door savings bond program.

You could get out of the program anytime by selling the bonds. I think you can sell <12 months, you forgo the interest.