I tried an 800 watt portable electric counter-top burner once. Even with a cast iron burner plate, it didn't convect much heat to the smoke chamber. There seems to be a need for other mass added to the burner plate which can transmit thermal energy to the air, otherwise you only get radiant heat, which isn't much. I know with my first attempt, the burner was cycling on/off pretty slowly, with more power-off than power-on, so that told me it wasn't moving much heat from the plate. I added a smaller cast iron skillet to see if the burner would cycle more, but it still didn't put enough demand on the thermostat for a steady power-on...was better, but not by much. Chamber temps in my GOSM 3405GW only climbed about 30* above ambient with top vent closed about 90%, if I recall correctly (was about 3 years ago). If something could be rested on the burner to pull heat away from it, then have fins to transfer that heat into convection with a fair amount of efficiency, I think it would work.
Just some things to consider...
Eric