It's a doable journey especially in a 33 footer. I've done it in my 35 footer with no problems. And there is a shoulder on most of the road. The northern part of 1 from Leggett into Marin County is more windy and steep than the parts of 1 South of Monterey, but I'd still do it as it's a great drive.
I have found that when people on here tell you to avoid Highway 1 like the plague and how scared they were when they did it, that when you look at their signature line they are from Florida or South Carolina or someplace where mountains don't exist. If you're used to mountain driving then Highway 1 is not a big deal, but do be careful on it and use the turnouts to let the idiots pass or they will try and pass you across the double yellow whenever they can.
2021 Nexus Viper 27V. Class B+
2019 Ford Ranger 4x4