Thanks for the suggestions, guys. I was looking for something more sturdy than peel-n-stick feet. Possibly some small cabinet feet that could be bolted on with small bolts. Like these that I put on my recently-built TB110 cab. PE# 260-773, they are 1 1/8" in diameter and only 1/2" high.
I don't know how much clearance is available inside the Shuttle chassis for that though.