jbartos,
You are correct in saying that the system impedance is needed for an accurate result - the upstream voltage is 11,000V as the original post indicates.
However, on a typical 11kV network 600HP is a small drive and, since the 11kV fault levels are 'typical', the 11kV supply will be sufficiently stiff to start a 600HP drive without undue drop in voltage (Calculate the starting MVA for, say, 8x rated current during start as 3.6MVA - not a lot on a typical 11kV network)
The governing factors are likely to be:
Maximum MVA demand of the motor during the start, and the time for which it exists during acceleration. Most transformers will take a heavy overload for a short time because they have fairly long thermal time constants, but frequent starting or long run-up times will equate to a higher average load which will require a larger transformer.
The maximum acceptable transformer impedance will depend upon the minimum voltage you need for the motor to start, during the lowest likely 11kV voltage level. For a really accurate calculation you should take into account the upstream impedances, as indicated by jbartos. This is especially necessary if the 11kV system is weak. The minimum impedance may be restricted by your 6.6kV switchgear's maximum acceptable fault level.
I guess the transformer will be ONAN at this rating, so you need to consider how quickly it will cool down following a start (depends on ambient conditions).