should allow you as a captain to increase your own EO accel alt. why not climb to the MSA thrust/time limit permiting.
Lateral navigation compliyng with the EOSID of course.
Often the two considerations will be mutually exclusive. Keep in mind that the turning bits depend on presumed radius which depends on bank angle and speed. You might well have obstacles on the inner and/or outer splays.
Please, please, treat published OEI procedures to be flown AS they are written - you wing it on your own risk - most pilots do not have the information as to what is critical for the procedure and it's all a bit late to contemplate your error ... when the window is full of rock just before you die.