Yes, welcome to the forum. I suspect you would have to charter
a crewed yacht and the price
could be pretty alarming. In addition, from Mexico
it is a pretty long trip to any of the Windward/Leeward Islands. I suspect you would find it much cheaper to book a flight to an island of your choice and look for a crewed charter
from there. In addition, you don't say when you are hoping to take this trip, but bear in mind that by mid July (and certainly August) you are getting well and truly into hurricane
Good luck on your upcoming adventure!