I'm going to butt in here a minute, FVG, have you thought about cutting another set (of the same width binding) to match what you have, seam them in the middle with a scant seam, and have the seam meet the edge of your quilt?
Is that clear as mud? PM me if you don't understand what I'm saying. I should be back about 11 PM and if I can still move I'll try to check in.
When I've made quilts with thicker than usual batting or fabrics and wanted a certain look, I've often done the seaming of two pieces of binding. It take a little more pinning to get the seam to stay exactly on the edge of the quilt, but it is better looking than having to change everything again.
My own personal rule of thumb for measuring for binding is to add 1/4 inch for fabrics and batting, then add that to the finish look I want on each side of the quilt edge.
Good luck, I have to get up and get showered to leave for my nephews house, but I'll check back tomorrow afternoon to see what you've decided...