TUTS59: I pulled the data in my shop manual and FAM and it shows that the electic wiper should have an ignition switched power (brown) wire for the main power. There are two diagrams and one shows that as a 16GA and the other shows it as a 20GA.
None of the diagrams I have show the switch, but if you are up for a bit of experimentation, I suspect we can sort out what signals the wires need and figure out a switch solution for you based on that.
If it were mine, I would power the brown wire (+12) and try connecting each of the other two to ground.
If it runs at the two speeds with the two wires connected to ground, that will be simple to control with the switch you linked above.
If it runs a one speed with one wire grounded and not at all with the other, then I would try grounding both at the same time. If that makes it run at the other speed, we can still make the switch above work, but it will take a little more effort.
If neither of those does anything, you could try powering the two wires separately. I would be very surprised if that worked because that is the "normal" operation of that switch and anyone could have made that work.
On a related note, a picture of the crumbled switch might be helpful as well.
