Fleetwood model 4068... Advice?

[VintagePC]

...would be to reverse the connections to ONE of the coils and see if it oscillates.

D'oh! WE HAVE A WINNER!

Swapped the coil leads, and almost immediately found the sweet spot using the handheld. Followed it up and down the dial for a bit, then tried to find a station (plenty of squeaks and noise at this time...).

Found one, but it required cranking the volume about 1/2way and shoving the 'ANT' spade connector in to a 10 foot USB cable (which is currently masquerading as a radio antenna).

This was with the old tube, mind you; I did another check on the voltages while it's on a station, and it's now sitting at 106V... so as you suggest, the tube could indeed be weak. Will pop the other one in after it cools down to see if there's a noticeable difference. (Edit: Doesn't sound like a major difference to me... and the voltage on the new tube also reads 100 now)

I would have been willing to bet that I'd rewound the coil properly; I remember putting it on the end of a pen and pulling the broken wire off so that it unwound in an overhand fashion... and the current one is wired in the same way. (it will only go on the pen one way b/c of the lugs on one end.). Next step is to figure out if we match up with the dial; that'll have to wait until sundown when more AM starts coming in (and until I pop the chassis back in the case).