Excuse my butting in, but this one might help.
It isn't exactly what you have been looking for, but it shows all the essential points.
Values are fairly typical of an aircraft in the B737/A320 class.
The relationship between best climb speed and Vmd depends a lot on what you assume for the variation of thrust with speed. The graphs show a typical variation, but if you assume instead that thrust is invariant with airspeed then you will indeed get the best climb speed above Vmd whereas this example has best RoC at virtually the same speed as Vmd.
In this example V2min would be about 150 kts and Vs 124 kts.
The increase in climb gradient potential as you go above V2min is clear, as is the fact that best RoC speed is well above the speed for best gradient.
So far as the balance between runway length and obstacle clearance is concerned, of course you are nearer the obstacle at lift-off if you go for a higher V2, but surely a couple of hundred feet on TO distance is neither here nor there compared to the extra clearance that a better climb gradient will give over an obstacle 10 or more miles away?
