The Contact Other Plane spell is a good inspiration here, % chance of insanity and all!
Since I'm mostly looking for moves to use outside dungeons - not that I don't love them dearly, but I find that they provide enough structure that the OD&D rules alone suffice while dungeoneering - I'm thinking that opening your mind to Law and Chaos, or to the gods and spirits, would be more general-purpose.
Which one you'd choose depends on which you envision as the major source of creepiness and conflict in your campaign. There's no reason not to use both, leaving it up to the players to move on one or the other, as long as you're clear which things fall under which rubric. Arguably letting any class do this as a basic move steals some clerical thunder, but you could a) make divine types better at it and b) say that clerics are good at using gods to do their will, while anyone can open themselves up to be a vessel of the gods' will.
In either case, a basic piece of info you'd get on a success would concern whether Law or Chaos is stronger in this area, or which god claims influence over the situation.