Public Enemies filmed at Little Bohemia Lodge, Manitowish Waters. The gang hides out at this lodge, which uses the original rooms where Dillinger stayed.

Probable Named in published production coverage; the coordinate is the place itself, checked against a gazetteer.
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Venture keeps every scene location on one map, sorted by how far you'd have to walk. Open it in Manitowish Waters and it tells you what was shot around you, how to get there, and whether you can actually go in.
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