Have you tried "shaving" your towels with a blunt razor? I use this method to get rid of fluff on towels that seem to stick everywhere. Alternatively, you can get towels with more densely material. This will be less likely to be "molting".
For me, I noticed that happens when I buy cheap towels. Ever since I have invested a little more in getting good quality towels. I can't stand the fluff it messes up the clothes and it's so hard to remove.
Cheryl Wingz