Why don't you try rotating your bars down a tiny bit, so that the transition to the hoods is more horizontal, that is where the tops of the bars and the hoods are in the same plane. This may make it more comfortable for you, in this photo you can see the flatter transition to the hoods and you can also see resulting position of the drops sections of the compact bar shape. If you want to change bars, I think the compacts will offer you more hand positions in the drops than your current bars and still give the flat transition required at the hoods.



The bars shown in the photo are the FSA compact shape found in the K-Force (carbon) and Energy models (AL), other models to consider are the 3T Ergonova Pro (AL) and the Team or Ltd carbon versions. I would probably just go for the cheaper aluminium models as they are stiffer.

ENERGY COMPACT HANDLEBAR

ERGONOVA PRO - Dropbar - 3T Cycling Road

watch out for the bar width measurement on these models, they are wider at the ends of the bars as opposed to the hoods, so for these manufacturers a "42" cm bar is 40cm at the hoods and 42cm at the end of the drops (measured center to center).

or as a previous poster has mentioned , get your fitter to recommend some bars.