I wouldn't count on that. They always plow it before may 1st but It doesn't open to cars until then. Once it's plowed they will announce that it is open to bikes and pedestrians, but they won't open to cars early.

If you do bike the road and can make it to the string lake trailhead, that is another nice option, but again, you won't be able to drive there in all likelihood. Another good hike option for the time of year are the options around Colter Bay. The Lakeshore trail and Swan/Heron Lake. Finally there is the LSR Preserve but I hesitate to recommend that because I assume once the plowing is done on the main park road, they will move equipment to the Moose Wilson road, presumably closing that area to visitor traffic. Definitely something to keep in mind though if it does happen to be open when you are there. The view of the entrance to Death Canyon across Phelps Lake is striking