To find out who flies into and out of an airport there is a website located here that can give you that information. They have arrival and departure information for most of the world’s airports.
Route Maps – There is a website dedicated to showing airline route maps. It is located here. I have no way of knowing how up-to-date the maps are. It did not list all airlines when I originally found the site. Air Sunshine was not listed, for example. It is worth examining, however.
Air Sunshine – Route Map. Has prices on the Flights/Fares page.Some fares under $100.
Anguilla Air Services – Route Map. Flies only Anguilla, St Barts and St Marteen – AXA/SBH ($211) or AXA/SXM ($87). Not on Google Flights.
Sunwing – Route Map.
WestJet – Route Map.