I've never tried that specific ride, but there are a number of connecing rides that I've done that will get you to Visalia (assuming that's where you plan to enter Sequoia). Probably the easiest would be tow make your way to Ojai, either up the coast from Santa Monica and Malibu or down the Santa Paula Valley from Santa Clarita, and then follow 33 north into the Central Valley. Some sections of 33 can get very narrow, but it generally isn't too bad.
Another fun option is to follow the old Ridge Route (also called The Old Road) up from Santa Clarita to Gorman and Lebec. Ths more or less parallels I-5, but I can't think of a good way down the Grapevine. Most likely you would have to either head west from Lebec over Frazier Mountain and towards 33, or east from Gorman towards Lancaster and Mojave. You can also take one of the numerous routes over the Sierra Madre range such as Angeles Crest in order to get to Lancaster. Once you're in the high desert, the only route that I've personally ridden is to continue north towards Ridgecrest and then back over Walker Pass and by Lake Isabella to Bakersfield. There probably is a way to shortcut that by going directly from Mojave to Bakersfield through Tehachapi, but I don't know it.
Regardless of how you get there, once in the Central Valley, I'd take any north-south road and work my way towards Visalia. They are probably all equally in poor condition, and equally boring, hot, desolate, and flat. Personally I would prefer to hug the foothills of the Sierras -- there are some very nice roads leading north from Lake Isabella -- but it will be a much more strenuous trip.
Good Luck
Sean