Who's going to explain to Bev's loved ones that she was shot in the head?
Travis was shot in the stomach, and while it is a slow way to die, given the amount of blood loss and how far they were from a hospital, there's a possible chance he'll die or be permanently injured from his wounds.
If he does die, Harrison will feel immense guilt as the wound came from when they were trying to escape. Imagine the amount of guilt he will have all his life.