www.theflyfishers.com Jared Ehlers teaches a great way to tie backing on to your fly reel. Very simple, strong and not bulky! We use this from little 2 and 3 weight fly rods for trout up to the biggest saltwater fly fishing setups.
I have been Fly Fishing for a few years and thats the easiest method of attaching backing to spool i have seen yet and as i need to fit some backing i will do as you have done - cheers