I do almost all applique quilts. Once I found misty fuse, I was hooked. It is virtually weightless, and can be used on the finest, lightest fabrics. The finished block will be soft.
I like needle turn aplique, but even then I use a little Misty Fuse to hold the piece in place. I cut the misty fuse roughly 1/4 inch smaller than the applique piece, or just put a piece of MF in the centre if it is a complex cut piece of applique fabric.
Let us know if you try Misty Fuse or another light fusible web and it works for you.
Jane