I've got carpal tunnel and RSI in my hands, I ride a 'sport comfort' bike, whatever that means. Jamis Hudson DLX.
I've eventually moved the seat post up where I'm sitting pretty much level with the handlebars. Having ergonomic grips at a supporting angle is huge for me. As are padded gloves. I use the ergon 5 grips with big bar ends, and place my hands a few different ways on them for variety.
You should be able to adjust the seat. Unscrew the single bolt, until there's some play, tilt the saddle up a few notches, tighten back up again.