1. Ken, if I may ask. What are you going to use a 'battery operated' hair dryer for? Because these are 'battery operated'. They just use a larger capacity battery!!
2. Paul, the average current consumption,(technical, ain't I?), for these types of appliances, varies from 5 to 8 AMPS. So no small battery's please!!! Well, not for long!
Regards, L.