I've quilted minkee before, using free motion on my domestic machine, not on a frame. It does have some stretch to it which is why your LA person perhaps won't work with it. I can't imagine another reason, but that's just my opinion. I pinned my quilt sandwich together and went to work and had no problems whatsoever. Also, the quilting stitches don't show through very much on the minkee unless your thread nests or you have eyelashes from FMQ'ing too fast.
Good luck!
Gina