Before you do anything OP, take inventory of how you ride. How often do you ride in the drops? 1/8 of the time? 1/4 of the time? All the time?
I ride with all kind of guys..every shape, speed and form. My handlebar position is higher than most. This is for the simple reason that I prefer the drops position for general hammering. I live in the drops because they are the most comfortable to me. So I tune my bar height for the drops and not for the hoods. So before you do anything, assess how you ride. If you don't use your drops much then your handlebar maybe too low and not too high.
As Rob said, moving your bar position has pretty much nothing to do with speed. Many will produce less power when closing the hip angle but aero profile trumps slight reduction in power...but the important point is, there isn't necessarily a correlation between handlebar height and aero profile either. Your arm and elbow position changes more than torso. Arms more horizontal produce less drag and a higher handlebar can be more aero...especially if you use the drops more.