Whichever you use, only use a heater indoors rated for indoor use.
http://www.mrheater.com/product.aspx?catid=41&id=116
Note for the heater I linked above:
This heater requires a vent area of 18 square inches
(example 4 1/4 x 4 1/4 opening) minimum for adequate
ventilation during operation.
So that’s a “NAY” on the rust eaten hibachi with wet charcoal?