It will cost you $10, but you might think it is worth it. The Pro Gun Club between Henderson and Boulder City has private shooting bays to set up your targets (stands can be provided for a deposit) and they have portable restrooms at the shooting locations and a real clubhouse with a bar and pretty girls at the top of the hill.
http://www.deserthillsshootingclub.com/directions.php
http://www.deserthillsshootingclub.com/directions.php