DM me the address and I can tell you what the approximate value of the property..

Couple of details that would help the community here: what's your estimated value of house "A", the loan balance, and monthly rent?

The rent is calculated from the zillow estimates.

I attached rough estimate on here, I included rehab on to the sales price 

Zillow Offers (home owners, buyers and investors to estimate property values quickly) 3.

There is much confusion about the 4% and 6% in property taxes.Non owner occupied property is taxed at 6% of the value to get the taxable value.This does NOT mean your actual property tax is 6% of the purchase price for rental property,In reality property taxes are about 2% of the purchase price for rental properties and about 1% of the purchase price for owner occupied properties.Google Greenville County Property Tax estimator and play with it and get a sense of how it works.3.

Best estimate is bad tenants are out near year's end.

I'd estimate you'd need to rent it for $1,900.

All the hard money lenders I've worked with in the past (and the one I currently work for) deem an appraisal necessary for risk management purposes to insure AIV and ARV estimates are good.Curious how you'd manage risk without one? 

You will be within close proximity to the University and approximately 5 minutes driving distance from the main city area, which also includes the hospital (could be good maybe for a medium term rental if close enough for travel nurses).