Really? On my keyboard, I can simultaneously place my index finger on the Colemak position of H and my pinky on Shift without any movement of my wrist. I'm on a full-size keyboard with a tenkey and I have smallish hands.
Personally, I've found that even on a qwerty keyboard the speed at which I type is usually not the bottleneck, especially when programming.
With QWERTY, I had a quite odd typing style that had evolved from 2-fingers hunt-and-peck but never got to proper 10-finger typing. This odd style wasn't slow, and I hadn't to look at the keyboard, but my hands used to float all across the keyboard in weird motions, and I suspected it had contributed to my wrist pains.
I wasn't able to force myself to learn a proper QWERTY typing - the decades-old muscle memory was a seemingly impenetrable barrier for me. However, a completely different layout (Dvorak) did the trick - thanks to ABCD, after a 2 weeks of "aaaaaaargh I can't type anything, it's really really irritating" hell, I had learned to type acceptably fast, and what's important - with my hands remaining fairly stationary.
I don't know if this was another layout, or just a pair of weeks of rest, or that was a pure coincidence, but the pains were gone (haven't had any severe since then) and I enjoy a proper typing style. There was some speed improvement, of course, but this isn't something I care about.