That truck is problematic.
The microwave links mostly would need station-keeping re-pointing because the blimbs move, not so much because they're that finnicky -- a smaller dish gets less range but is less directional also. 5km with excellent line of sight because up in the air shouldn't be a real problem.
What had me wonder is that if you have blimps, you have a lot of otherwise unused area, so why not put those fancy flexible solar panels on top? Seems a no-brainer to me. You'd still want to be able to feed them from below, of course. How much power does such a base station need?
As pointed out, trucks don't fare well in disaster-struck areas, so a mesh between blimps would be a better idea, as local comms would be of immediate help between rescue people on the ground. Add a satellite uplink somewhere and you have limited outside connectivity, but that's not even the most important thing to provide.
I'd guess that sms/mms-only outside access would be enough for letting the family know you're still alive, allowing more people to make do with the available bandwidth. You could perhaps put a small replacement mobile switch on the meshed blimps that'd allow just anyone to connect and wire up instant (ptt?) access under a few well-known codes or something, instantly turning suitable mobile handsets into walkie-talkies, which you'd probably need more at that point.