I think the best way to learn to touch-type is to actually replicate typewriter-style touch typing exercises: get a source document, put it up somewhere convenient to your workspace where you can comfortably look at it but not your monitor or keyboard at the same time, and type from that into a text editor or word processor window (something that doesn't autocorrect as you type, so if it has that feature, disable it.) Time yourself on a particular work, and go back and verify that its error-free once you are done.

Rinse, repeat.