My concern would be that if it's a hot day and the tenant is not cool enough, are they going to think the air conditioner is not working satisfactorily and call on a maintenance request, particularly if the air conditioner unit is a little older.

When I do too many renovations or have a zillion air conditioners going out, the same happens to me. 

We have Air Conditioners here in the sunny State of Florida and they are the worst.

So right after they moved in there were some mechanical issues with the unit (Air conditioner and the water heater quit heating) I was there working on the property and the tenant's group drove off to visit someone and shortly thereafter the police showed up.

At this point, you have cranky tenants so it's going to be hard.Pay for the hotel (ask for receipt) and/or reduce their rent next month.I'm not an Air Conditioner wimp (I live in San Diego and for the first two years I did not offer AC in my Airbnb guest suite), but a week (and counting - it's still not fixed as the time of your post) in June in Texas?

People would cool the house with Air Conditioner and Fans.There is no furnace / heating - is this normal?

The air conditioner and heating system on each side is aging, although they are probably about five years from needing to be replaced. 

Looking to buy hand soap, shampoo & conditioner, dish soap and other toiletries items for STR?

There are a few general requirements such as:Water Heaters / HVAC: Eligible systems include electric heat pumps, natural gas heat pumps, heat pump water heaters, central air conditioners, natural gas water heaters, propane water heaters, oil water heaters, natural gas furnaces, propane furnaces, oil furnaces and hot water boilers.

The college banned window air conditioners, so that was not an option.