Bob, it's football season in SEC country so Saturday afternoons are generally verboten for anything other than determining who the next national champion will be (Bama, UGA, LSU, South Carolina?)! Personally, I like to get an early start hiking (much to John's irritation at times: "Six o'clock? You mean six o'clock in the
morning?!") and be done before the day heats up. Give me a shout and we'll arrange something. Sundays are do-able sometimes as well.
Here's a TR on our trip last year. Still a ton of snow and ice in the Sierra last summer. Somewhere in all the verbiage is a description of the route, as well as a few photos.
Here's a link to the Flickr album of the trip. Mt. Whitney is near the end of the album.