I've never used minkee but have done several charity quilts using polar fleece. I just laid the fleece on the table clip it to the table without stretching and pinned the top to it. It sewed like a hot knife through butter. Took no time at all to quilt but this was a child's quilt approx. 40" x 50".
I love making these blankies for the little ones as they're soft to be comforting,lovely and warm and light enough for a toddler to carry.