Disclaimer: I type slower than you (~80 wpm) and I have no idea whether this will help you, but it's helped me get to where I am without any formal training in

Disclaimer: I type slower than you (~80 wpm) and I have no idea whether this will help you, but it's helped me get to where I am without any formal training in typing. And I never went through a hunt-and-peck phase...it always felt natural to use all 10 of my fingers. That said, have you thought about taking up the piano? I feel like the dexterity that I develop playing the piano, particularly the ability to very quickly play repeated and alternating notes, has helped me to type faster. It should also help with rhythm, since piano keys need to be correct in both location and time to sound correct. If you're only interested in the effect on typing, you can avoid music with lots of chords and focus mostly on songs that have a quick tempo.