I've used the Arctic Silver adhesive mentioned to good effect, but I don't know if I would for your application.... it just seems like something you'd want to be able to remove/swap/whatever and it may be annoying to work on whatever's under the heatsink (if it's on the top side of the board, for example, you wouldn't be able to access it because it's now stuck face down to the chassis).
You'll get marginally better thermal performance with a regular thermal adhesive (provided you've got flat surfaces to attach to), but that adhesive is actually pretty good as far as TIM goes. Maybe adhesive to one side and regular paste on the other? You'd still need the mounting hardware, but it would be removable and it's not going to go out of alignment with a peltier floating between to surfaces.