Your best bet would be to use I-90 to I-80 and follow it all the way to Salt Lake City and then follow I-15 to Apple Valley and pick-up SR-18 to SR-14 and then north to SR-126 and then west to US-101 and Santa Barbara.
Be sure to
read Judy's tips for Speed Runs and keep an eye on the horizon and an ear on the weather channel...Oh and have fun!
By the by, most online mapping programs will route you via I-40 (2900 miles) but I would still use I-80 -- much better weather response than you will find along I-40.