Antibes to Nice airport without car?

I did a bit of searching online and there is a bus route 250 operated by Lignes D'Azur, the local municipally-run bus system. The timetable is at the bottom of http://uk.niceairportxpress.com/timetables.html. Note that there are only one or two per hour.

There is no rail service to the airport.

The airport's website shows that bus 250 runs express between the airport and the Antibes area, taking about 40 minutes, for €10 one way or €15 round trip. Here's the relevant page: http://en.nice.aeroport.fr/Passengers/DIRECTIONS-PARKING/Gestion-Bus-et-Navettes/Bus-lines/250-EXPRESS-Golfe-Juan-Vallauris and here's the bus schedule as a PDF (second page is Antibes to airport): http://en.nice.aeroport.fr/var/anca/storage/original/application/b2e36ed72b83328f4cba3d87e3aa3854.pdf

EDIT: Cross posting with Philip.

Thanks so much!

If you're a party of more than one, ask your hotelier to price a car service -- I planned on taking the 250 from Juan le Pins to the airport but when I found out from the concierge what he could get me for door-to-door service, it seemed worth it.
And I am not usually one to pick the non-cheapest option!