Destroying stuff, must be break time...
Since you said IF coils tend to be similar...I borrowed one from the FM side. This had the effect of burning out the op amp! I think I might have shorted the pins on the back of the board by pressing down on the board. There is a cap back there across 2 pins. I must have pressed the leads onto the pins. Otherwise, I have no explanation for the chip suddenly overheating.
The kit comes with a little transistor audio amp board that swaps into the IC socket, so I'm not totally screwed yet. I don't think I have another LM386.
Here's what I learned before the mishap:
I was remembering incorrectly the resistance of the IF coil in question. It has resistance of 2.5 ohms on one side and 1.5 on the other, whereas the others have .7 on both.
I definitely don't get any voltage variation in the AGC from the signal generator, including sweeping back and forth past 455kc. I'm using an Eico 324 and the voltage I'm measuring on the scope looks like 175mv peak to peak on the medium setting.
I managed to find a jpg of the radio schematic:
http://denysborysiuk.com/Images/Projects/Radio/schematic.JPGThe radio is called "superhet 108". The instruction book says that this particular coil is the beginning (or end) of the AGC.
I strongly suspect the coil, but I'm going to knock off for the night before I destroy anything else.