What to do with my out of control Beagle mix?

I agree with Jeanne that your Dad needs a dog that is more suitable to his lifestyle and behavior. The Humane Society of the United States, and Breeds Info web sites have very good information about selecting a dog based on the person's lifestyle and needs. There are several web sites that help to place dogs in new homes. One is Petfinder, and there might be a rescue group in your area that helps place hunting breed dogs. Please consider trying to place him in another home that is suitable to his type of breeds instead of having him put down.