I have used fleece for FMQ and found is very *squooshy*. The stitch's sink in great and it slides like a dream - but the tension in my hands and shoulders to keep it flat as I was working with it was very wearing after a while. Works FABULOUS for walking foot quilting.
you still have to do some binding on the edge and because only 2 layers you may need to change the width of your strips. Do some experiments to see what you like.