Battlefield nuclear blast zone is “only” 2-3 miles across. Hills, intervening terrain? Then you might survive in even an armored car at 1-1/2 miles. A few minutes after the flash and blast effect, drive through the blast area itself. A short time in the cratered area even is survivable despite the radiation. (Especially if an air blast.)) Ground or underground blast is far dirtier. Close the hatch, get through in ten minutes.
A day later? Easy.