Yep, this is doable!! The starch trick should help. Depending on how you are quilting this, baste or pin baste the blocks where you want them to be. The quilting will help take up the excess. Do the minimum amount of quilting you want on the quilt. You can add in more quilting to control things if needed. If you are taking this to a LA quilter, she'll be able to make this work.
Don't worry!! Breathe!!