Thanks for your suggestion, Geneva. Unfortunately, that would require more work than just using push pins. Since the quilt is so large, round, and heavy, it would require a lot of small plastic rings.
On an aside, a similar quilt was offered on an auction site. When I asked the maker how it would be hung, he/she said, 'hang it however you want to.' So, I guess he/she also didn't know how to hang it.
I have a 45-inch round table that I can place it on like a tablecloth, but it would lose its dynamic look in that manner. So, I guess I will stick to the push pins.