Old Glory makes a bag of them, wearing Bicorne.
I bought a bag a while back and was looking to see what to do with them.
I googled them, and all I could find was some porcelain figurines.
Another site showed the Connecticut Line, but no Light Horse.
I never heard of them before either.
But, nothing goes to waste chez OFM.
I still have some leftover Kings Mountain heads, along with the truly splendid plumed slouch hat head. I have just enough.
The Perry (Warlord???) box of plastic militia will also give me alternate heads, along with muskets to sling on the back.
My plan now is Emmerich's Chasseurs. They did a lot of dirty work in the Neutral Ground, and that's where my gaming is heading towards.
The prints I have seen show them wearing tricorne or bicorne, but I think a plumed turned up hat is more dashing for Gentlemen Loyalist troops.
Mounted militia is of course another possibility.
My "five minutes of research" on Google didn't turn up much for them, save for brown coat faced white. I already have enough brown coat Dragoons, with the 1st and Philadelphia Light Horse, so time for razor saw and pin vise.