Maybe trying something like this?
Wrist Tendonitis Tendinitis
I would think that tape would cause too much discomfort.
But still.. you might want to invest time in learning the different sytles of sticking... maybe even try out Moeller's obeservations... Don't shoot me for this guys... but people do call this the Moeller Method...even though he didn't really invent it. Chapin took Moeller's observations and ran with them pretty good... but within the Moeller style of sticking you can use just the pinky as the source holding the sticks.
See which type of sticking causes less irritation. And the obvious, employ some form of warm up and cool down to your playing. I hope things get better for ya.