I really like the 'Flamin' Pigwen' and the 'Owl Swoop' though it sounds like you should ride it side-saddle, kinda genteel and feminine.
How about a two seater: bRide and Broom 'Go and park amongst the stars in the ... ' or for married couples 'Take your baggage with you on the...' :P .
Or a four seater for families: The Longride. I can see the ad campaign now, you'd have 'Take the long ride home' by Supertramp playing in the background as a Dad, Mum and two adorable kids zoom down into a McDonalds 'fly through'.
How about a little product endorsement: The MachDonald 'Guaranteed to make you sic!!!!' or 'Super size this!'