•Is it safe to assume that I (and my agent) will need some sort of hazmat suit or respirator while viewing the property?

Defiantly needs to wear a respirator. 

It might be on a long term respirator but the opportunities that exist warrant a good look at the asset class.

It'll start to bubble and peel, and becomes really hard to fix or do over because you have to scrub off the whole coat to get it to look smooth.Also, get a respirator mask, IIRC they're about $40.  

Great flashlights and extra batteries that fit, super long extender ladder, korkers/or other brands over shoe to go over your steel toe boots, GFCI tester, moisture meter, a dog nose, an extender mirror, shovel to check foundation moisture, respirator as some properties have gross smells or chemical exposure, regular retractable tape measure forget the laser one, 5 gallon bucket, zip lock baggies, brown paper bags, putty knife, variety of screw drivers,Are you checking basements?

Workmen would need a respirator while working with the asbestos, and the asbestos would need to be bagged and disposed of with a special landfill.   

Wear a good respirator so you aren't inhaling mold spores.Just my two cents as I'm not a mold removal specialist. 

The paint smells super bad so whoever is spraying it will need a full respirator and proper ventilation.

However, most need to use really hazardous chemicals while wearing a respirator and using a machine to ventilate the fumes out of the building.

I had a two week window to do it, so I didn't have time to get it tested for asbestos... so I just proceeded as if it had asbestos, got a P-100 respirator, face shield, tyvek suit...etc.The popcorn had a layer of paint over it so I had to spray it with a vinegar/water mixture.