I'm aching to go out to the US state (8)

I believe the answer is:

michigan

(Other definitions for michigan that I've seen before include "Lake by which Chicago stands" , "I'm aching to go to a Great Lake" , "US Great Lakes state" , "American state, capital Lansing" , "I'm aching to go out the US state" .)

I've seen this clue in The Irish Times.

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