Did a quick charterx search for you:
if you want to charter a G-150, EJM has one based in St. Croix.
Rainbow Airlines is based in TIST with a CE-550 and a BE-100
Welcome to Rainbow International Airlines
M & N Aviation in TJSJ are good folks and they have a CJ2 & CJ3.
Otherwise:
Anguilla Air Services: Home
Have fun