I like the idea of cutting it into squares. I'd then arrange the blocks so some of the curves run north to south and some east to west, alternating and turning them until you get a look you like. I'd use sashing the same width as the strips in your blocks, to give it symmetry and draw attention to the curves rather than trying to hide or fix them. I'll bet you would get one spectacular quilt. Some of the best designs result from mistakes! Just stop stressing and have fun with it!