[MENTION=6787234]peterka99[/MENTION] I see you're referring to the Encounter Tables. It's going to be tricky to involve the Hudson's Bay Company (Compagnie de la Baie d'Hudson) in affairs in the Caribbean. I mean, I'll put on my imagination cap, but I'm pretty sure I'll need to deviate wildly from history in order to have the HBC involved in the Caribbean.
EDIT: Here's what I came up with...
Crippled by French occupation of Hudson's Bay, but anticipating an end to the war soon, the HBC sent out an agent to the Caribbean to gain leverage for treaty negotiations that would ensure the Bay returned to British control. This agent is Thomas Paine (CR ?), an aging colonial American privateer, who the HBC somehow convinced out of retirement. He is served by Scouts (CR 1) loyal to the HBC as well as his own crew of Old Salts (CR 1/4).
Thomas Paine based on the historical figure:
https://en.wikipedia.org/wiki/Thomas_Paine_(privateer)