Hi Watson ... I'll preface this with that I have not used Cuddle Fabric.
Though I am thinking what works for fleece may be much the same as for Cuddle.
For me, what works best is to reverse sandwich ... so quilt top on the table, then batting (if using).
Then fleece on top (which really is the bottom). With spray basting for each layer.
That way I know for sure that I have the top (which is the bottom of the sandwich) flat/straight/square on the table with painters tape and/or heavy duty clamps. Then I can work with the fleece and not end up with it overstretched or unevenly stretched.
At least, that is what has worked for me with fleece!
I'm guessing you have the faux hexie quilt finished and ready??