A simple sign stating video surveillance  is in use as well as leaving written notice about extra fees for dumping large materials should suffice on both fronts.

They don't exist, and you can't make them.Knowing what a bad deal they're locked into, Chinese investors who have successfully acquired extra property then look overseas, and they cash out in China to leave someone else with the hot potato and buy up property in HK (before recent events), Australia, Canada, and some cities in the US without many black people (mainland Chinese investors hate buying in areas with black people). 

Hard to get your exact scenario right without the extra info.

E.g. let's say some of the properties have an extra bedroom/bathroom, finished basement, newer/older homes, etc.Thanks!

That gives you a couple extra days to recover and not pay late fees.

If I did this cash out refi, I would replenish/add to the emergency fund just for a little extra comfort but would like to use the rest to buy more real estate. $40k wouldn't buy much around me so likely I would have to look out of state which I have never done before.  

That's only an extra $50-100 per month?

The extra 10+% is well worth the bit of effort needed to self-manage. 

Without that extra protection, Landlord risks getting sued personally.

The reality is the opposite - if it's not in writing then the PMC doesn't have to provide the service or can charge extra for it.We have a 12 page management contract that we've added our real experiences to over the years, with the intent of protecting both us AND the landlord.