I've heard of quilting on the back. Go ahead and give it a try. If you're doing an all over pattern it ought to work just fine.
My sad tale - I'd finished pinning and realized I hadn't lined up the top and the backing and the backing was definitely short on one end of the quilt. My solution - I drove over to starbucks. Bought a very large frappacino. Once I had the caffeine and sugar in my system I unpinned the whole thing and started from the beginning. It happens!
Best of luck however you decide to fix your basting. I do recommend the caffeine fix! :lol: