+1 to putting less weight on your hands and using your core more. I've been trying to focus more on this lately and in addition to comfort it's making me a stronger rider and improving my abdominal and back muscle strength.
+1 as well to the bar ends idea.
If you want an even more drastic change and greater number of options for hand positions, I'd strongly recommend trying some butterfly trekking bars like
these. I recently went w/ a similar handlebar (mine are a different brand (Kalloy), but same idea, and I LOVE THEM). Brake and shifter levers from your current straight bar setup could be swapped right over - the bars are MTB diameter.