I have that problem. I simply put a grid and backing and a binding on some fall fabric because I could not bear to cut
it. It's just so nice in one whole piece.
I am also cutting out one right now that has a Charlie Brown
Easter theme to it. I am cutting the blocks so that Lucy
sitting in a whole bunch of eggs is complete on the block.
I'm wasting a lot of fabric, but I think it would look really
stupid with cutting bodies in half.
If there's a way other than destroying a pattern, I will do it.
Another suggestion is if you can't get around it, use the fabric
as backing for the quilt. Then you don't have to cut anything.