Do you have a picture of the proportioning valve?
Sounds like you have a plan now.
But I'm curious about this plunger thing. I have a GM normal looking valve on my truck, and have never had a problem like you have, nor have I noticed a place to push and re center the valve. Sounds like in the future I'll use the kind I already have, and avoid the kind you have, but what does yours look like?
Thanks,
Grigg