Yes, there are plenty of Whitney-worthy conditioners to do there, in or near Big Sur. Mt. Manuel (3,379') is all on trail, with maybe 6 miles and 3,000' gain one way. Junipero Serra Peak (5,862') is another trail hike, with over 4,000' gain and another 7 or so miles one way. I've done both of them, although they will be better in spring.
Ventana Cone, Double Ventana Cone, and the other Cone are long hikes. A real challenge for a day.
One of the great Pacific Ocean views is to be gained from Cone Peak (5,155'). An easy 2 mile hike, the ocean is all that way below you.
Your book should have other hikes to do. These are the ultimate peak experiences in the area. You mostly need the Adventure Pass, yes, even up here. Or pay the State Parks. Watch for ticks, and beware the muddy trails (after a heavy rain). You pretty much have to stay to trails, since the impenetrable brush curtails all cross-country travel.
I have hundreds of photos, if there is any way I can find out to post them on this message board. A few photos are on my THOUSAND PEAKS website, under Pete's Classic Leads, under Junipero Serra Peak (3/1986). My stats here are from quick memory, so please check on them. Plenty of stuff, on the Net, doing a search on the peak names. Have a great few hikes!