The tour to Cooktown (and its museum) would no doubt be very good, especially if it takes both roads, however I think with a three-day trip it is out of reach. Concentrate on a Reef Trip, possibly Kuranda, Port Douglas, and a Mossman Gorge / Daintree Rainforest / Cape Tribulation tour (or a rental car).
I've been to the museum at Kanchanaburi in Thailand - pretty moving place.
