I agree, permanently installed baseboard heat would be the way to go. I would install an 8' high density 2500W, or two 5' 1250W units on each side, with it's own thermostat and own 15A 240V circuit. Two of everything would give you redundancy in the unlikely case one would fail.
A 20A circuit for a 4000W heater is under sized, especially for a cord and plug connected heater.
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