Hey Test Pilot,
If you are interested in seeing a Long EZ that was bought "in flying condition" just this May you can take a drive north to Durango and check out mine. "In flying condition" is a relative thing. I picked mine up in Coeur d'Alene and flew it home to Durango with the owner - after having it "thoroughly" checked out by a "EZ expert / FAA advisor".
Just for good measure I had another EZ expert fly out to Durango and test fly it for a final thumbs up. Well, I got a thumbs down, specifically because the engine was not generating enough horsepower. Turns out the O-235 was a lemon, the intake valves were leaking on all the cylinders, which led me eventually to a top engine overhaul.
One thing leads to another and now I'm redoing the electrical system, the firewall and firewall back fuel system, the baffeling, instrument panel, throttle cables, throttle body and air intake, and a few other things. So she's been in the hangar for the past 5 months - though I set out specifically to buy an airplane that I could start flying. There are a lot of things to learn by just getting into it. You're welcome to come and see my bird with the firewall off, engine out, panel and electrical removed. I'm about to start putting it all back together.
David Orr is a great resource, however he is not able to provide any kind of guarantee for the airplanes on his lists. You will need an EZ expert to check out your potential airplane. The difficult part is that it will cost $1000 - $1500, and at the end the prognosis may be that there is something lemony about the plane.
In my experience, two names to trust for checking out Long EZs are Burrall Sanders (craftsman@freeflightcomposites.com) and Bill Ortell (ezeflight@charter.net). Sounds like Zetlin would be a good option too.
Best of luck,
project just like you have described