So I did a little research. Totally non-scientific. The new county courthouse in Stockton is 13 floors/243ft. The new county courthouse in San Diego is 22 floors/403ft. The ~300ft estimate mindbender gave us sounds just about right with 18 floors assuming all three projects have similar floor heights.
Also, I was able to find a southern facing rendering at the website below from Clark Construction. If this is what is still the plan, I think that looks pretty nice. At the bottom of the page, check out rendering 11/12.
http://www.sacramentocourthouseconstruction.com