I've practiced law in Alaska now for about 25 years. I've not had a case from Barrow (Uqtiavik now) but otherwise I've had a case from every standing Superior Court in this state, from Kotzebue to Dutch Harbor to Ketchikan. I have seen all kinds of horrible things come from mixing guns and alcohol.
Others have touched on why that's a bad idea so I won't really add much to that part but I will say that if, God forbid, something bad had happened, there are no words to describe the guilt you would feel. It is very similar to those who cause deaths from drunk driving. I've handled those cases as well as manslaughter from drunken, non-intentional shootings. I get the story was meant to be funny but it would not be funny if you were sitting in an attorney's office waiting for the blood alcohol tests to come back from the State medical examiner's office.
And this doesn't count civil liability. If anybody were injured from that shooting and your BAC was >.000, get out your checkbook. There are 2 issues I would make about this: 1) I said "anybody injured." That does not mean anybody shot. If the discharge off your weapon were to damage a support for a roof over one of the shooting stations so that it were to fall onto another person, that would be foreseeable and you would be liable. 2) your homeowner's policy may cover some of this but there are frequently exceptions for behavior that goes beyond negligence into recklessness. Reckless is typically defined as "conscious disregard of a substantial and unjustifiable risk." If you injure someone by the discharge of your firearm and your BAC was >.000, a jury could find that was reckless. And if reckless conduct is excluded from coverage from your home owner's policy, you could find yourself having to pay for your legal defense (figure $75-200K ballpark) as well as any judgment that a jury issues.
I have 3 kids, 1 grandson and a granddaughter on the way. I've taught all 3 of my kids to shoot and one of the first rules is: guns and alcohol do not mix. I have that rule because of what I have seen over my almost 3 decades of practicing law, not because I'm trying to be some holier-than-thou prick. If I have a beer at lunch, I don't go shooting. It's that simple. If I want a beer at lunch, I shoot before lunch. I'm not trying to preach but to give a perspective that most people don't always consider. Because trust me, the last thing you want to be doing is sitting in your lawyer's office with a haunted look on your face after several sleepless nights saying, "I never thought that would happen."