You can dry paper mache quickly by using a hairdryer on the "cool" setting. The heat from the hairdryer will help to evaporate the water faster. And it will help to prevent the paper mache from becoming too stiff. Be sure to move the hairdryer back and forth across the surface of the paper mache. And be careful not to hold the hairdryer in one spot for too long. Alternatively, you could place your paper mache model in a warm oven. Turn on the oven to its lowest setting and place the paper mache model inside. The heat will help the paper mache to dry quickly.