Understand that international finance and corporate law is bloody complex. Stuffer Shack may well be a corporation that is entirely owned by Aztechnology, but it is not Aztechnology, e.g. 'Aztechnology's Stuffer Shack'. The PCC doesn't want the AZT in its territory? Great, AZT can't be there, AZT troops can't march along the fence line, AZT guards can't stand inside the door with their assault rifles. That doesn't necessarily mean that Stuffer Shack, the wholly-owned corporation which itself might achieve a AA rating, is banned - because The Shack is not necessarily considered Aztechnology Corporate Property, any more than the local McHugh's franchise is the corporate property of the McHugh's Corporation. Oh, sure the one inside the Seattle Pyramid is, and perhaps the flagship store in Seattle is as well, but remember the baseline rule of extraterritoriality - it has to be clearly labelled as being owned by an extraterritorial corporation.
That said, it'd be relatively easy to simply reskin it. Grab a modern convenience store, stick it under a megacorporate flag (even the PCC's, because after all, they ARE a corporation), and poof, done.
About the rail system - could work, especially if it were a high-speed monorail between cities, with the airship stuff being only out from those 'lesser' depots. A RL high-speed rail line between Los Angeles and Las Vegas has been proposed I don't know how many times now ...