Other than SBB trains are there any other methods of public transport to the airport?

Give these guys a ring/email and see if they're still offering their early-morning coach service:
http://www.sunrise-reisen.ch/frameset_fruehbus.html

or if you can get to the Luzern area:

http://www.flugbus.ch/index.php?id=5

rent a car if you have driver license.
But with SBB supersaver ticket train of course cheaper

Not really (it is possible, but does not make any sense). If your concerned about the costs, buy a "Halbtax" (reduced price). Does not cost to much and is definitely worth it if you use public transport from time to time.

Thanks for your help. I think I will pay full fare this time and get a halb fare when I'm back.
I had a demi tariff when I lived in the swiss french region- do I just hand that over with the money of course and my new address or do i have to take i.d and a new picture?