That will negatively effect the home values on the rise leaving a lot of people unable to refinance out of an FHA or in general to pull out any ARV cash.If it happens to where a lot of people are predicting some of these 203K loans that offer a 110% above property's "Future" home value.

It's my smallest house (2 bedroom, 1 bath; about 900 square feet) and the rent I've gotten from this in the past doesn't make it cost effective to put in an HVAC unit. 

That statement does not paint the entire picture when it comes to how multiple hard inquires will effect your credit score. 

Not all landlords will be affected by these current events (just the ones that poorly managed their properties).Everything is speculation right now because this is a different situation from 2008.What is your guy's predictions about the effects of the eviction ban ending?

As with @Joe Villeneuve has done I made my own spreadsheet that takes into effect assumptions for my local market here in the Dallas/Ft.

I wanted to know how would it effect the appraisal value?

The law as written indicates if not approved in 60 days (not counting time that jurisdiction will awaiting on input from entity requesting plan approval), it is in effect approved.  

For LPs, it’s trusting the GP can manage the process (cost) effectively through the rehabilitation to the sell. 

Someone who says 'there won't be a reason to not pay rent' or words to that effect is a big red flag.

Between what the contractors say, what you see around the neighborhood and research I am sure you can find a cost effective method to replace the stairs.