Well, I did the first part of your recommendation at this point - cleaned out the idle air valve. It's drying right now. A ton of crud in it. Fairly easy job, though. Only takes a few mintues to pull it.
Next I will go (again!) and look for a fuel filter I can put in. Running cleaner through the system now.
I have no idea how long this car has been sitting. All I do know is that right after I bough the car I found a mouse nest on the left hand side of the air intake - nestled between the air cleaner cover and the intake manifold. No fried mice, however...