I've used "generic minkee" before with no problems, except when I did some work for a friend who had loaded it on her machine for months and it stretched terribly... caused me all sorts of grief, got a top about halfway quilted and decided to take out everything I did and rehung the backing sideways and with the most stretched part towards the bottom. Even still I had to be extremely careful to keep that back taut enough.
It sounds like a terrible pain to do, but when I have done garment construction with fake furs you have to go back over all seams and pull the plush through -- maybe you can do that on your quilting. I used a dull (and I filed the tip down a bit with sandpaper) size 14 sewing machine needle. Obviously you can't do it on a quilt (and there is no real need anyway) but after you pull the plush through so you don't see the seams, you shave the seam allowance on the inside.