Yeah, like SilentEdge said, How long is your stem? I've seen some longer bullhorns, but most look just fine if you have the right length neck. I just picked up an Easton EA50 in 80mm length and I know the EA30 comes in 75mm... Try that out, or one similarly shorty!
It sounds like you ride with your hands on the upward curve of the bullhorn bars, and that the stem might not be the problem. Many bullhorn bars have a good reach, which, if you're riding on the upward sweep, causes you to reach beyond your comfortable posture. If this is the case, then flop and chop another bar that would give you a closer upward sweep. Or get a shorter stem.
yea i was about to recommend the syntace stratos then as well since it has a backwards sweep. that, coupled with properly-short stem should give you what you're looking for. if not, you've got the wrong sized frame.
exactly why i chose them. they came with some old crappy bar tape and i took those off and left behind some sticky stuff. i just left it alone because it keeps up with the theme of 'this bike is ****ty. don't steal it'