The Kautz Cleaver is a fun route that should still be in shape for the rest of the month. And you're right about it being uncrowded! The time I climbed it (July '03), our team saw only a single footprint (not sure how that works out).
As for the approach, my personal preference is leaving from Van Trump - you start lower, but it's nice to hike through the trees and watch the views begin to open up. Plus it's more straightforward, none of that traversing and losing elevation as with the Paradise approach.