This engraving, dating to about 1757, shows marines in fusilier-style mitre caps:

Figures seem hard to come by. Recently, Northstar has added some to their upcoming
pirate range, but I don't know how they compare to other ranges. Several others are mentioned in
this TMP thread.
Several regiments of marines served in the AWI, and these are documented wearing tricornes, their uniforms being red with white facings.