Resources for Jazz Piano

I've been pootling around on the piano for a couple of years, but I need a teacher. The trouble is, I'm looking for quite a specific thing. I don't read music, I'm interested in being able to play different genres of improvised music and accompaniments, to interpret what other musicians are playing and generally play around in pleasing ways. I'm looking to learn patterns and shapes that I can reuse and combine, to make my improvisations harmonically richer and more rhythmic.

Specific styles I'd like to grasp are:
* gospel piano
* pop piano (think Carole King, Randy Newman, Elton John)

I was talking to my friend's piano teacher Roland Perrin (http://www.rolandperrin.com/) recently about how to play jazz piano, and one of the things he said was that jazz piano rhythms are basically two conventional rhythms layered on top of each other.

And I've also been following Shawn Cheek's "Easy Piano Lessons" on YouTube, and he says a similar thing about jazz chords, that he hears jazz chords as two chords layered on top of each other. http://uk.youtube.com/watch?v=MMXYdD7rDhc, about 1:30 in)

Read about where and what I teach, and about some of my current and former students, and their successes!