Directors of Indian state embark (2,6)

I believe the answer is:

go aboard

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'embark' is the definition.
(thesaurus)

'directors of indian state' is the wordplay.
I cannot really see how this works, but
'directors' could be 'board' (board of directors) and 'board' is present in the answer.
'of' could be 'o' and 'o' is located in the answer.
'state' could be 'ga' (abbreviation for the US state) and 'ga' is present in the leftover letters.
No letters remain.
This explanation may well be incorrect...

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I've seen this clue in The Guardian.

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