You could also go a bit more out of the way and take in 229, which is a fantastic little stretch of road coming out of SLO and ending up in atascadero.
Gas up before heading over as once back on the coast after nac/fer there is no gas until Big Sur and that place is steep for gas $$. If you can make it to Carmel you have cheaper refueling options.
the entrance if I recall is on mission rd off of jolon rd. It is hard to miss.
No need to tell ya to keep it at/under the limit while in the base
The road can have lots of gravel in the corners as it is not that well used, but coming east to west you do get some awesome views.
You can also take the old coast road loop on the way up if you want some dirt.