For me, a rare brain flash regarding a McGyver solution

[NYC_SKP]

1. This sounds like a good solution, I can't think of any down sides.

I'm curious about your bath outlet, however.

There might be a safety issue: if a power surge came along and ruined the outlet or the conductors, it should have blown a fuse or tripped a breaker in your fuse box or breaker panel.

If so, be sure to NOT to replace the fuse or reset the circuit until you've had someone check the integrity of that circuit, the conductors, and the receptacle (outlet).

OTOH, if you can confirm that all is well, you might be able to use this receptacle again but I would advise against drawing more than 15 amps, better still keep it under 10-- this would be to say don't run a heavy duty space heater or a blow dryer beyond 1200 watts.

I suspect that your space heater overstressed the circuit and/or receptacle.

Some of them draw 1500 watts, that's a lot of power for one 100 year old circuit!

good luck, stay warm, be safe!