My wife and I are looking for a PM software that integrates with Quickbooks.

For screening without integrated software, I've had excellent experience however with both RentPrep and ApplyConnect. 

., the ability of my investment to last, and to be sold successfully in 20 years) because a) there are websites out there that impugn the building integrity of the company, and b) I didn't get a chance to inspect it prior to the drywall going on.

I've used Canyon, Unified, First Alliance, First Integrity, etc for investor deals. 

It also allows you to integrate your subs so that you can centralize communication, expenses and project timeline with deliverables in a single app.

@Eugene Lavatman  Have a look at Zegohttps://www.gozego.com/I've been happy with them and their integration into RentManager.I think you can use standalone too?

So unless you can find someone who knows how to build integrations or can do it yourself, that AirBNB calendar is probably as good as you're going to get.

Look for integrity, character, and a standard that's required of all members in terms of how you do business and treat one-another.  

A few wordpress templates have IDX integration but they look very generic.

If they have integrity they'll quickly do the right thing, apologize, and make you whole.