Obviously you are talking winter mountaineering if you are going up next week. I read a recent report you can drive past the tree debris on the road to up around the campground area.
You can easily camp at the portal in the snow, or up at Lower Boy Scout Lake, Upper Boy Scout lake, in the morraine area below Iceberg lake and Iceberg lake itself.
The terain is not that technically difficult up to the notch @ 14100 feet. From there you can take the easy traverse straight or turn left to go up the chute, depending on what you feel is best.
Coming down the chute to the notch is where the gentlemen fell and died a few weeks ago. He apparently slid down the chute 1000 feet on the north side after he fell. Some use ropes on that area to be safer.
Be carefull and enjoy.
This link has a bunch of reports and photos of the MR>
http://www.mt-whitney.info/viewtopic.php?t=126