Limited supply, large population centers, tend to be strong markets.

Check into this.Now, the above is semi-moot if you aren't using the LLC for limited liability purposes. 

A couple of the things you'll want to keep in mind (if you don't already know) is that you are limited to the typical cash-out guidelines for LTV and such, and the pricing on the rate is the standard cashout refi pricing, which is a bit higher than purchase loans (but not typically exorbitantly so).

No limit on the number of financed properties unlike Fannie Mae and Freddie Mac (Bankable loans).

So that is a fairly limited market....as you go up the price range it gets thinner, and as you move down to $2100/month or so it gets stronger.   

There were income limitations and some other rules, but it was not restricted to federally backed properties. 

I provide sole employment to 2 unlicensed handymen (they are self-employed but pretty much only work for us).In my market a license is required for jobs above $600 (I believe it is still a $600 limit). 

I don't hold contracts for time limits.

If there is currently a loan on the property, you should be able to rate term refi for a much higher LTV than the cash out limitation you cited.If you did it with cash, find a hard money lender that will give you a short term cash out type product and then once you have the lien recorded you can rate term refi it as above.Selling or leaving money in the deal is an option in either scenario.

It seems to me they are limiting their exposure to a crash with the upcoming end to foreclosure moratoriums.