I was looking back through my AWI books recently with just such a thought, but couldn't find any units with it. However the Perry's do sell a 28mm 16th Light Dragoon figures in a tarleton for the AWI, so I wonder where they got the information from?
Even with the tarleton the jacket is completely different as the braided shell jacket wasn't introduced until the 1790s.
the Loyalist units eg the British legion and the Queens Rangers (Light Dragoons) wore the Tarleton with a dashing green uniform. If your a wargamer, its close enough though you could always do a few head swops
Lees Legion on the rebels side worn similar outfits
You can also use as British Light Dragons in the Revolutionary wars or later Pennisular