A couple of inches is a big raise for short length quills. A switch to a long quill stem like a Nitto Technomic might be required to achieve that. But stem height isn't the only contributor to hand pain. Stem length plays a major role too; too short a stem puts the bar too close, which in turn puts a lot of weight on your hands. And if you're considering changing the stem, it makes sense to look at the handlebar and the brake levers too. Bars come in many different shapes and widths, and many prefer the newer "aero" style brake levers to the old style where the cable came out of the top of the lever. But if you're considering any changes like this, it would make a lot of sense to get professional help in fitting the bike rather than just haphazardly swapping components.