Not a UA pilot but I've lived in OAK for 20+ years and am very frequently in Santa Rosa, so I'll reply. As with most driving duration estimates, it completely depends on the day and time. Monday morning rush hour, southbound? Quite possibly up to 3 hours. Driving in at 0500 on Sunday morning? I've done it in just under an hour.
The worst spot is the 'narrows' on 101 between Novato and Rohnert Park. Even on weekends, it can be a mess. Or trying to drive northbound on a rainy Thursday or Friday afternoon. It can take 4 hours if you're really unlucky. And yes, it's 67 miles.
Or you can hop a Skywest RJ. First flight out of STS is 0600, last flight back to STS is 2100. Be sure to say hi