For now, put his hide on the warm side.
If possible. Turn the bulb completely off. BPs seldom bask in the light.
Only turn the light back on if your temps get too low and you need it to increase the temp of the tank. The most important thing right now will be keeping your at the right temp and having your warm side temp correct.

Next, get an identicle rock hide for the cool side of the tank, and put the driftwood somewhere in the middle of the tank to create some clutter and add to the security of your BP.