Lyndon, I may have outdated info, but I believe the Conness Lakes basin is off limits to camping. I think it's a research area, or at least was at one time. We certainly saw no signs of camping during our day there, and it was a weekend. You may have to adjust your itinerary for that, but as a whole it should be eminently doable. I'm pretty certain you will not find a more awe-inspiring group of lakes in the Sierra than in those two basins.
Lyndon, I believe Gary is correct. However, I "think" that this does not include the "entire area", but only the "Hall Natural Area". See the following link for more info:
http://www.allyosemite.com/nature/hall_natural_area.phpLike Gary I have not seen campers in the Conness Lakes Basin, but I have seen hikers with packs including tents/sleeping bags/etc., so I'm confident there are areas nearby where camping is OK.
There is signage telling you when you are entering the Hall Natural Area, and it does say no wood fires or "overnight use".
Put the 28th on your calendar. I would enjoy hiking with you.
John
