FYI - the rangers are only issuing one parking pass per group due to the construction. If you have many folks in your group and/or multiple vehicles, this can be a logistical curve ball. There is a list of places you can park, but some are pricey.
We found a dirt lot with a "Whitney Trail Overnight Parking" sign on the road to the Lone Pine Campground. We left 4 cars here for three days and two nights without incident.
Its a great spot - close to the trailhead and free! :o)