Legal q: when is a permit process considered onerous?

That’s it in a nutshell. A court would have to decide if the conditions placed upon the citizenry, as outlined in the OP, were too onerous. If I were deciding the case, I have little doubt that I would so hold. But there are no applicable and precise constitutional standards of which I’m aware; it would be a question for the court to decide.

Ultimately, however, I suspect the remedy would be found in the political process. A mayor so lazy and out of touch will probably not long survive at the East Podunk polls. A few years ago there was a suburban Cleveland mayor who was (for no particular reason) more than a bit paranoid. He set up security cameras, a reception area with bulletproof glass, an armed police officer on duty, etc., in City Hall. It rankled a lot of people and when he eventually lost a reelection race, turning City Hall into a fortress was definitely an issue.