The rim is an odd place.
Water around the western side will be plentiful still. Sections such as tahoe city to brockway, and spooner summit to stagecoach are drying up.
I suspect by that time there will be NO water from spooner to stagecoach.
Not sure what direction you are going to go, but most other sections there is plenty of water.
Some odd things to note, is the section from spooner to tahoe meadows is mostly through a state park and "technically" there is no camping any place but in marlette peak campground. There is a well there, so theres water.
Other water sources or camping spots along that section are down near marlette lake and thats a steep decent assent. There are a few off trail water sources such as heading down tword hobart resivor about .75 miles and there is a creek there.
I will actually be on the trail then, so you may run into us.
Oh and yes, skeeters are going to be out in full force. I was up on donner pass friday and I stepped off the trail into a wooded section to look for a place to hide a food cache and about 52K skeeters jumped me.
Its still tons of snow along the western side and I suspect will be snow even when you come. I would expect about 20% of the trail will still be snow covered your first week (guessing here).