You know me, I have a problem with every solution!
It took far too long to find a straight answer:
"You can expect to pay about $500 for a complete setup, including safety equipment that will allow you to weld mild steel that is up to ¼-inch thick."
A Beginner’s Guide to Getting Started in Welding
What about a King-of-Random-style spot welder? Our old microwave is still in the garage.
Wouldn't sheet metal screws transmit dryer heat?