We recommend flying directly into the Santa Barbara airport. It is a small and convenient local airport fifteen minutes from downtown Santa Barbara. Catch an Uber/Lyft to town or rent a car if you're making an extended trip.
Alternatively, you can fly into LAX and take the Airbus ($60 one way) up to Santa Barbara.
Below are a few hotel recommendations, please feel free to book wherever suits you best including Airbnb or other options you find.
This hotel is within 2 blocks walking distance to the wedding venue and is located conveniently on State street.
For a slightly more affordable hotel, further from the venue, try the Lemon Tree. Just a short drive to downtown State St.
Nice upscale beach front hotel, a seven minute drive to the wedding venue.