There are three remote addresses - the Temple, the Pit and the Shell. I should be able to get 1 based on how much TToL I was able to get (after getting the upgrade to the Room at the Royal Bethlehem and the upgrade to the Lease at the Spire-Emporium). Besides being a remote address, is there any particular benefit to any of them?
They block city vices cards, but they’re all the same. (Though I know the dripstone temple popped up in one story, allowing you to skip a step. Could happen with other ones too)
The different remote addresses do offer slight menace cures when you move in depending on type, though this is not likely to be an important consideration unless you regularly change lodgings. I believe the Temple reduces Nightmares, the Pit reduces Suspicion, and the Shell reduces Scandal.