Why does it need a centre drilling in the end?
Suggestions.
1 Measure the square socket in the chuck.
2 Carefully file the square on the end of the embryo key, offering up to the chuck, frequently.
3 To keep the flats the same length, make a collar and clamp it to the shank, to act as a length stop.
With a square of only 7 mm , the chuck would seem to be small, so a long tommy bar is not needed, and as you have found out, damaging! Probably 125 mm would quite sufficient, 150 mm max, in my book.
Using excess torque will only strain and wear the scroll and jaws needlessly. You are looking to grip a piece of relatively small bar, not moor the Queen Elizabeth!
Howard