Climbing at a higher airspeed will increase the time to an altitude where you have better options and increase your vulnerability.
BPF
just a couple of points to consider? If you have a massive runway under you frankly it doesn't matter if you are 50 feet or 200 Feet plus?
Infact you are better being low because with an engine failure you will want to get it down and stopped on the remaining runway easier to do from 50 feet than 200 feet plus.
If you are over dense forest it makes little difference whether you are at 200 feet or 50 feet you will go down into the trees for both.
Lastly if you are climbing to get the maximum altitude as quickly as possible you will surely be using max power rather than a cruise climb setting?
Surely your biggest chance of a failure will be at full power rather than a reduced cruise climb setting.
Do you go for a max max stress setting to get maximum climb to altitude or a reduced power setting which stresses the engine less but takes longer to climb ?
Its a juggling act ?
Pace