Plastic screw with ripped-off head stuck in the frame So I attempted using a couple of shitty plastic screws to attach an air pump to the water bottle mounting holes in the frame. I was using a long-arm torque wrench and the head of one of the screws just came off, leaving the body inside.

I need those threaded holes in order to install the pump!

Thinking of burning the screw body with a soldering iron and then forcing a steel screw in, to clean the thread.

Would this be a good idea? Maybe drilling would do better? Anything to be careful about?
As the comments have stated, here's your options:


Screw extractor: Inexpensive and easy to use.
Drill: Use successively larger drill bits until most of the screw is gone.
Drill and extract: Drill a spot large enough to put something in the middle and pull it out.
Screw/Nail Extract: Lightly tap a nail or smaller screw into it and then try to unscrew the stuck body. 
Melt it: Not really recommended but you could do it. Be prepared to retap the threads if things go awry.


Note, these are not in any order and some can be tried before others.