BTilke - The reason the EuroAirport is called "Basel Mulhouse Freiburg" is because that's how the three towns are named in their respective countries. It has nothing whatsoever to do with an English name.
And while you're attempting to setting this native Basler straight, maybe you should also inform our embassies not to refer to Basel as Basle in their mailings.

Waggis, FlannerUK calls Euroairport Basel-Mulhouse-Freiburg (which is its official name in all three languages) Basle-Mulhouse-Freiburg. There is no airport by that name, no matter what language you use.
And while even some Swiss may still use the old British spelling for Basel, the fact remains the city did officially change its English spelling to Basel.
(My father in law is a native East Prussian, but even he now refers to Allenstein as Olsztyn)

Anyway, AnnaLeonard, you could of course also fly to Brussels then train to Brugge.

Or fly to Lille then train to Brugge