Curtis, I soloed Whitney my first time too - in August, actually. Trust me, you're not going to be alone. If more than 15-20 minutes goes by without your running across other folks, I'd be surprised.
As others have noted, the trail is normally very easy to follow, with the possible exception of the slabby area above Mirror Lake. Once you get on pure rock, just pay a little closer attention. From what I've read about the trail conditions after the storm two weekends ago, it sounds as if the washed-out or damaged areas are in the lower-to-mid elevations. You'll likely be hiking in daylight the entire time, so these shouldn't present any great challenge.
For the higher elevations, the 5 miles of trail between Trail Camp and the summit is impossible to lose your way on - assuming you don't make a wrong turn at the John Muir Trail junction. Make a note of this when you pass it on the ascent. A number of people over the years have mistakenly continued down the JMT as they were returning from the summit, usually due to fatigue, AMS, or inattention. There's a very visble directional sign at the junction, but it still happens. Just remember: don't head down to those pretty lakes. You still have to hike up a couple hundred vertical feet to regain Trail Crest.
Enjoy the mountain, and let us know how it goes.
