How can you have an electrical short and not know it?
I had an issue with a corroded wire going from my ignition switch to my starter in my car. Worked fine when the engine was cold, but when the engine heated up, the wire resistance would go up, and than the starter wouldn't turn. Difficult to diagnose because it was an intermittent fault, and usually only showed up when at the end of a long drive, when I was a long way from home, and it wasn't convenient to troubleshoot.
Sounds like woodland farms has an intermittent fault shorting out his draft control solenoid. So it isn't shorted all the time, making it hard to find.
Woodland: I would recommend you just bite the bullet, and just run a new wire from your draft control solenoid from the control switch. I bet the fault is occurring somewhere in the tunnel, and you won't find it until you pull out the old wire and find the insulation scraped off. I assume the draft control switch is wired to be powered off your ignition switch, so it doesn't have a wire going directly from the battery through the tunnel to the switch.
Yeah, it is a pain fishing through the tunnel but dollars-to-donuts says that is where the problem is.
Since your solenoid is reading good (at 7.2 ohms), that is likely not the problem area (still could be a temperature effect thing going on, but unlikely).