I was 214lbs at 6'1". What was recommended to me on this was that flat bars do not offer many hand positions yet a drop bar has 3 - tops, hoods and drops. The varying positions does change the spine angle and the ability to move to different positions allows one to ride longer.
I ended up purchasing an endurance road bike also called a relaxed geometry road bike. Either way you look at it, the saddle is more apt to be even with the handlebar instead of above it. this puts you into a stance with less forward lean making for a more comfortable riding position but less aero.
Not all drop bar bikes are meant for racing.
In the end, whatever makes you love riding and gets you to use it will be great.