It might be hard to find a stem with more rise, but a shorter one would definitely bring the bars and brake levers in. The drop bars pictured on that bike look to have a lot of reach and drop -- consider "compact drops" like Soma's Highway 1 bars to bring the brake levers even closer, and the drop position up and inward.
That may be all you need to start loving drops, and you could be spared the expense of replacing brake levers, shifters, etc.