Well, the average opening date is end of May.
Plowing starts on April 15th.
The last 2 years it has opened well before June.
Well... why not look for yourself?
http://www.nps.gov/yose/planyourvisit/tiogaopen.htm
Mosquitos in Tuolumne at the very beginning of June will be pretty much non-existent.
Just bring a small can of mosquito dope in the off-chance ...
As for the snow, I think I may have said this before but...
It can sorta be fun to hike on. At that time, typically the snow
will have really packed down so that you can just walk over it
the entire day without sinking in. I recommend hiking sticks....
It will depend on where you are going how much you hit and
of course how much more dumps before then.
You can monitor the snowpack:
http://cdec.water.ca.gov/snow/current/snow/
Conditions really vary alot year to year but right now it looks fine.
In all honesty we could really use the road not opening until July.
Then again, I'm ok with not watering my lawn.
