I'm from Houston, doing the HST mid-August. The cheapest easiest solution I found was to do an open-jaw flight.
We're flying into Fresno, then taking a Greyhound to a Visalia motel, then a $7.50 shuttle early the next morning to Lodgepole.
Eight days later, we exit at the Portal, hitch to Lone Pine, stay a night at the Whitney Hostel, and take a 6am CREST bus ($59) to the Reno airport.