You are definitely receiving sound advice here on Trulia! Matter of fact, I'm not sure why ANYONE would hold an Open House for a rental. Furthermore, when I have investors, relocation clients or anybody wanting advice on rentals I ALWAYS tell them to start with Craigslist. In the years before Craigslist it was always the Sacramento Bee, but that is simply not a reliable source, nor do they have the comprehensive info such as Craigslist.
As for your neighbor, that could potentially invite risk where you don't want it. It's a double edged sword too....will the neighbor screen out everybody because they prefer no one in the property or do they simply not care who rents and subsequently push the first live body through the door. So, in my humble opinion, I'd be pushing your Property Manager to get the house on Craigslist ASAP and then get over there ASAP.
Good luck Jerry~!