Does anyone have advice on the best times to begin advertising, examples of leases in similar situations, and best practices for screening tenant-roomates? 

The return on equity is low and damage too costly if you don't screen well.If a nicer place I would explore selling it and taking the (probably mostly) tax-free gain and invest or otherwise use the proceeds for their benefit.As Ashish points out, heirs would inherit the house at it's current value at death whether it's a rental or not. 

That's why they are finally allowing me to view it.

New apartments (View 32), retail (Walgreens, 32 Shea, BoSa, etc.), and schools (Basis Phoenix Primary), along 32nd St, north of Shea, south of Cactus.Something to note, as both yourself and @Ryan Swan have mentioned, the units you're looking at aren't in a war-zone.

While you probably can't re-screen the tenants (check the leases,  some have a clause allowing for that)  you might be able to infer if any occupants are employed,  going to school or otherwise showing signs of responsibility.Agreeing with prior posts I would be VERY CAUTIOUS about terminating the leases for any reason even remotely relating to their sec8 status,  especially if they are otherwise in good standing.   

My first rental It took me a long time to get it filled because I was learning all the landlord tenant laws and the screening process was new to me.

HiI am a remote landlord and have a property manager who goes out and views potential deals and gives me insight on the deal and area etc.What is the usual compensation for this work?

@Agyei Axum To determine rents for the rooms I look at the rooms for rent section of Craigslist and zoom into my neighborhood using the Map View of the listings and look at the competition at that moment. 

In some cases the percentage of ownership can be higher if a unit has a better view even if the size and layout is the same.

Your best bet is probably to raise it to market rent on a month to month lease. if for some reason you do not agree with month to month leases, then give them the opportunity to apply and be screened before their lease ends (I would pay for the background check in this situation.)