I agree that the simplest method would be to apply your fusible web to the fabric first then use a die cutting system for cutting the circles, multiple layers at a time. One issue may be that it looks like the circles you need to make are at least 5 different sizes. I don't have an Accuquilt so don't know how many size circle dies they carry. I do have a Big Shot and many dies, but not sure I could come up with 5 or more different size circle specific dies. There are many dies however, like a flower or graphic design that will have a useable circle center. This would be a costly solution, though if you don't already own a cutting system. The idea of finding a local quilt shop where you can use or rent a system seems like a good option.