Just to add to the possibilities, my lad has a racer(-ish) with downtube levers fitted on the stem. He's pretty comfortable on most bikes and can ride hands-free, but the position of the levers means his hands are never far from where they need to be to control the bike. That said, he's got a BMX too, which he prefers, so there's always the option of ditching gears altogether, which kind of deals with the shifting issue.