Living in a high cost of living area can be reasonable, especially if the salary is high enough to allow a higher absolute rate of savings, even if the ratio of savings to income is lower. In the US, "high cost of living" usually translates to "expensive housing", so especially if you're willing to trade a house for an apartment or live in a moderately sized place, you can still optimize your biggest expense. Other things won't necessarily be more expensive, food in CA is cheap because you're near where it's grown, and utilities will be quite cheap in a place where you barely need to heat or cool your house.
Note that Santa Barbara is a pretty small town, and has a small labor market, so figure out if there are any decent job opportunities for you, or if your husband will have any other opportunities if his employer employer doesn't work out.
Dunno where in the Midwest you live, but if you're looking for a progressive, walkable/bikeable place, SoCal isn't necessarily paradise. It has an incredibly intense car culture and the all the big money in the rich people towns on the coast may leave you feeling socially isolated, even if those rich people vote for Democrats. I know Santa Barbara has pretty decent bike lanes, but when I lived in La Jolla people definitely thought I was weird for going about daily life on a bike, especially before I owned a car.