Most likely it means Hill Side or Historical, tread carefully with both.

I like to study historical theology. 

The property was recently renovated, very nice finishes, structural work is done, and is registered with the historic commission.

If you answer affirmative on each of those questions the next question is whether there is a better investment option available.LA historically appreciates going back more than 50 years at rate higher than inflation and higher than RE in the average locale.  

Obviously the convential fannie/freddy loans are the best interest rates and terms but commercial rates aren't terrible....especially when compared to historic rates.

Housing inventory across the U.S. currently stands at a 3.2-months' supply, according to the latest report from the National Association of Realtors.The inventory of homes for sale is low by historical standards, and that represents a seller’s market.

If you're only getting 4 or 5% CoC Return on the capital you're investing, you'd be better off investing in the stock market, which I believe has historically returned an average 9 - 9.5% over the past several decades.

I think something that might be missing from your equation is what the values are doing and what they have done historically in that area.

Need to see actual historical financials.

Also, consider that you have 30-year financing locked at historically low rates, and the money you're using to pay down that loan might be better invested elsewhere.