Pretty easy to get a quote and see how the numbers play out (you won't have to provide sensitive info or get your credit pulled). 

I would ask the sponsor to see sensitivity analyses based on moving interest rates and sale cap rates.  

This works OK for relatively static and simple investments like a private placement or crowdfund, but can become rather cumbersome and expensive with a more time sensitive and transaction intensive asset such as a rental property.

Not everyone is as highly sensitive to noise pollution than I.  

I think this guy might be super-sensitive to this - stuck at home because of COVID, going stir crazy, etc. - and by how he communicates, may even have some mental health issues.How should I handle this?

I don't expect you to post sensitive info in this format.

If the deal is especially sensitive to the property then sometimes I get multiple valuations.

It takes time to get a PM onboarded and all the eviction steps are time sensitive and must occur in sequence.

I want to be sensitive to their concerns, as my family is also concerned about COVID. 

If there's a hole, it may be a red flag.b) sensitivity analysis: I examine all the assumptions, and make sure I can live with the worst case scenarios.c) "Stall and see": if they are getting money over multiple years, and there is no penalty for investing later, I would usually wait so I get some real performance data, versus having to look at theoretical pro forma information.d) Recession stress test: I will not invest in anything, until I subject it to recession level stress and see if I can live with the result.