I read your post differently then others. I see it just as a way to
keep the water out of your shoe not something that bothers you so much
it drives you crazy. I was a steam clean carpet guy for 10 months and
we sprayed "carpet protector" same stuff as scotch guard but generic.
What this does is allow the dirt and somewhat the moisture to bead up
on top and not penetrate the fibers of the shoe.
This will keep you dryer longer but its not a cure all. I'd give it a
shot .. my guess that due to the surface tension of the water when
shoes are protected the water will bead up on top and the act of
running will help flick it away, keeping you dryer longer. You will
need to re-spray often, the flexing of the shoes should break down the
protector fairly quickly. Possibly once a month or more often. I'd
check the net for a carpet cleaning supply / wholesale / janitorial
supply store. When you buy protector in bulk its WAYYYYY cheaper. Let
us know how it works.