I just finished the FMQ on a quilt with Minkee backing for new GS due in November. I had no problems with stretching at all. I pin basted, just as I always do. Maybe alot of pins. Then I start with stitch in the ditch around blocks to stabilize so I can get the pins out of the way for the FMQ. The quilt I did just before this one for DGD also had Minkee backing, used same process, no problems. Knock on wood! Let us know how it goes for you.