I would strongly suggest a Kaz-away or Ultimate Fall Away rest from Vital Bow Gear. You get a completely stable arrow hold that is perfect for stalking (ala WB), and you get all the benefits of a fall-away rest. Sure there are moving parts but in several hundred shots and almost 2 years later, I have never had a problem with mine. You can see them at
http://www.vitalbowgear.com/arrow_rests.cfm.
EDIT: My Ultimate Fall Away is virtually silent right out of the box. There is no need for moleskin with these rests.