That said I was wondering what experienced wholesalers  do  or would do to dot all their i's and cross all their t's on the property to ensure there aren't a bunch of liens or other issues that would disrupt a smooth closing before calling a title company and spending hundreds of dollars for them to do the same thing?

It's tough to do a complete upgrade to an occupied unit so in this case you do the easier stuff like plumbing & lighting fixtures and appliances, window blinds, countertop resurfacing, pretty much everything but flooring and paint which can be too disruptive. 

Your conducting business everytime you sign your name on anything......It all started with Wikipedia....Schools are fighting the internet disrupting their market share on education.

(Hence the comment above.)Remodeling is disruptive and dirty, not just in the room being worked on.

In this way I will limit calls to disrupt my day and can simply check my e-mail and call one of a few handyman I've spoken with. 

But with some unexpected disruptions, I suddenly find myself with 3 properties off-line, and my free cash flow looking more like -3150 per month.

A HELOC won't disrupt the current amortization process3.

We felt this method minimized the potential for income disruption while still getting us closer to market rents for the longer term tenants.  

If I purchase this property, what's the best and quickest way to get it in tip top shape without disrupting the current cash flow too much?

Its way less disruption on the tenants.