Alpine will open up for 4th of July weekend, Squaw's going until Memorial Day and probably will open for the 4th as well.  Mammoth will have a long-ass season as always, though that's not Tahoe.  You can hike for turns in any number of places; if you're feeling adventurous, do that.  Be smart and safe about it though, you don't need fresh powder for avalanches— wet slides are incredibly dangerous, too.