The reason it seems to work on AC is because the heating element is providing more heat to the boiler tube than that wimpy flame.
Testing Propane pressure- You need a manometer. If I were doing this, this is what I would do:
Make my manometer like the one I use to calibrate airspeed indicators.
I FLY EZ
Connect it to the test fitting on the burner. (You need to look at the drawing, there's an allen fitting you remove and install a test fitting to connect to the manometer.
Turn on the propane and see what the pressure is. NOTE - If you have an airspeed indicator laying around, 11 inches of water is almost exactly 130 KIAS (Knots Indicated Airspeed)
If its low, you may want to hook up the manometer on the LP line near the stove and see if its also low. If it is, you either have a bad regulator or need to adjust the regulator.
WARNING - You're dealing with a highly flammable gas. All it needs is a spark and you have a bomb. You need to be 100% comfortable dealing with this.