Here is where I ended up....
I cut three lengths of bailing wire that were just a bit wider than the hole. Then, from the backside, I used a soldering iron to heat up the wires and sink them into the plastic so that they spanned the hole in three different places. The idea here was to give something for the filler to "grab onto".
Next , I wrapped a piece of flat steel with wax paper and clamped it to the inside of the heater box at the hole location. I leveled the heater box, filled the hole with black JB-Weld Plastic Bonder, and let it dry.
After it was dry, I sanded it down, filled the small voids that were remaining with Bondo. I let the Bondo dry and re-sanded. Sorry - no pics up until this point,
Finally, I painted the whole thing with high temp plastic paint.
All-in-all the repair seems very durable and is hardly noticeable from the outside.
The inside of the heater box:
After Bondo and sanding:
After paint:

JB Weld and paint used:

