Question for the peanut gallery. Since I replaced the blower motor resistor and that didn't seem to be the problem, when I replace the switch (assuming that does the trick and I get low and medium back) should I put the old resistor back on and save or sell the NOS one I just put on? Or is there a chance that the old resistor WAS bad and caused the switch to blow?
Peanut gallery calling - there is no way that a resistor, wired in series, or parallel, or even series-parallel, can damage a switch.
Resistors by their very natures open like a fuse, they do not short, as capacitors can.
Use an ohmmeter to test your resistors - good ones check from 10 - 150 ohms, depending on the vehicle - i.e., Chryslers, Chevys, Fords, etc. Anything over that, in a 12V DC heater control system, especially 1K or more, is virtually an open circuit.
Now - before you buy another switch (I have dozens, don't pay fifty dollars for one, for Chrissakes) take the switch out and inspect for discoloration from excessive current. If it does not appear discolored, carefully take the switch apart by prying the four tabs. More than likely, you will find crud on the contacts, which can usually be cleaned with isopropyl alcohol. Reassemble and lube with WD-40, and presto - your switch should work.
How do I know these things - electronics is my field, and I've fixed hundreds of headlight switches, wiper switches, heater switches, and so on. I've also repaired Safeguard Sentinel lighting and Auto-Temp systems in old New Yorkers.