Travelling drama director? (10)

I believe the answer is:

stagecoach

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'travelling drama director?' is the definition.
'stagecoach' can be an answer for 'travelling' (I've seen this before). I am unsure of the 'drama director?' bit.

'travelling drama director?' is the wordplay.
'travelling' becomes 'stage' (stage is a kind of travelling).
'drama director?' becomes 'coach' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'stage'+'coach'='STAGECOACH'

Can you help me to learn more?

(Other definitions for stagecoach that I've seen before include "Old horse-drawn passenger vehicle" , "one that moved people" , "One gets around stops" , "Picture of Ford's" , "Railway company" .)

I've seen this clue in The Globe and Mail.

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