First,have you ever been fitted? Checking the seatpost height,saddle angle,and stem length could fix your problem.

Second,if your roads aren't perfectly smooth,those narrow-ish tires and that straight blade alloy fork aren't helping. Wider,lower pressure tires could help,and would be a quick and cheap upgrade. Swapping the stock fork for carbon or steel could also help.

Finally,I'd also suggest a trekking/butterfly bar over a drop conversion. Much easier,much cheaper,and you'd wind up with more usable hand positions.