Shadowrunners, from the Shadowrun setting, are operatives that perform clandestine operations.
While you might need something to keep you safe from detection (perhaps something your blackmailing employers attach to your spine) this seems like an interesting option for planar games (and possibly worth exploring in the zine).
I think Clueless mentioned she runs games this way, and I'm curious if others have and the campaigns/one-shots involved or just have some ideas to toss out about the subject.
I can see sneaking into the realm of one power on behalf of another, aiding or curtailing magical research in the name of Planar Consortium profits, and all kinds of double dealing between the factions...
I think D&D 1e had a spell called "False seeing" or "False vision" or something like that. Essentially it was a reversed True Seeing spell that could counter True Seeing. An excellent effect for such a character/party to invest in (especially once you consider how many beings in Planescape have it as an at-will ability).
Mechanically, Eberron changelings would be extremely well-suited to a party of this type.
BoGr Guide to Missile Combat:
1) Equip a bow or crossbow.
2) Roll a natural 1 on d20.
3) ?????
4) Profit!