I'm considering a possible humidity or moisture issue in the room because of my window A/C unit.

And when it isn't raining, it's humid.

The house we're interested in is a 2006 home so I don't expect any issues with lead and asbestos though when I go to see it I will need to check humidity in the basement.

FL is hot and humid as heck in the summer so impacts occupancy during those months.He should be able to print out his transactions from ABB and HA so there is no debate as to the income.

I own a rental home in the humid southeast that has some water issues in the crawlspace.

WA, central (sunny side) LOLPros- No state income tax, low property taxes (1% ish), cheap power, no floods, tornadoes, hurricanes, earthquakes or humidity, low crime, good appreciation, good job growth and per capita income. 

Tenants want the house at 65, so turn it all the way down, but it's 98 and humid outside...not gonna happen.

Since my units are at the beach, we've had humidity issues, and the AC helps with that, plus I don't want someone checking out with the AC "on" and running at 65 degrees and the cleaner forgets to check...But these keep dropping connection to the wifi.

If you have made any effort to reasonable air seal the building envelope, then you need the range hood to extract stale air and humidity as a regular air exchanger will not typically be able to adapt to accommodate cooking.Even if your house is not tight, it is still appropriate to properly vent the cook top to prevent moisture damage and grease build-up on the ceiling above.

If you are keeping a very low humidity level consitently and still having mold issues then I would do the more serious checks.