I do have an attorney working on it, with no luck yet because of the eviction ban.

For example, the deed restrictions on a home I bought recently precluded certain races and banned homes "worth less than $2,000" from being built. 

The new rules limit short-term rentals in residential areas to owner-occupied properties only (must have a homestead exemption in place), places caps on rentals in commercial and mixed-use buildings, and bans them outright in most of the French Quarter and the entire Garden District.See these links:  https://www.nola.com/news/article_c390da62-ba00-11e9-b876-237e289ed3ef.htmlhttps://www.wdsu.com/article/new-orleans-city-council-approves-new-rules-for-short-term-rentals/28639928https://www.nola.gov/short-term-rentals/

Another thing to think about is are you willing to put up a fence and go through the trouble of enforcing your parking ban?

The last place recently banned renting entirely.

It would provide them with a huge number of unique rentals right off the bat.Of course it would have to work for us financially and I suspect they would want some kind of continuity between rentals (which might defeat the purpose of unique).What also would be interesting is if local governments allowed this type of STR run by Marriott in the same space that they have banned others in.

When I pointed out that the driveway next store was in much worse condition, he stated that the home next store is owner occupied.A city official in Garfield Height told me just yesterday, that if residents had it their way; all rental property would be banned!

Either allow all breeds or ban all breeds.

AirBnB and the like... overall positive, or is there some risk that the city might limit, ban, or heavily tax STRs?

After you do get it up an running they could create a law to ban them in your area.You have to take all this into consideration.