The general consensus seems to be to use e600 or shoo goop for gluing surfaces down, I've also used tacky glue from hobby lobby seems to work well. I think the e600 is best because it's a permanent, waterproof bond, but I think how thick it is and that it dries pretty rubbery to insulate the surfaces from each other.
Remember these things are all about vibration, and I think any solid bond like ca, epoxy or wood glue would mess with the vibrations too much. Plus if the wood isn't stabilized it will expand and contract, so you want that rubbery layer to allow that to happen or something might break if the expansion is too much
That stuff is a PITA to apply, but I just made a post about a way I just found to make it a lot easier and neater