System for a zero-combat dungeon crawl?

[Nupo]

I've had this idea for a while now -- and I cannot be the only one -- to run a dungeon crawl with no combat whatsoever. Just traps, puzzles, and a mystery story told through the architecture and maybe the notes scrawled on the walls.

Nope you are not the first to think of doing this. Gary Gygax himself thought of it back in 1975 when he wrote "Tomb of Horrors." Yes there is some combat in it, but not much. It's mostly traps and puzzles.