My favorite NSAID is naproxen. Between the three choice I'd take ibuprofen. They are saying now that both NSAIDs and acetaminophen should be avoided for hangovers or by people who drink a lot.
For acetaminophen the concern is extra strain on the liver for NSAIDs the concern is GI irritation, possible bleeding, and increased risk of ulcers. Among the NSAIDs aspirin is the most likely to cause GI distress, followed by naproxen, leaving ibuprofen as the one I'd likely take after alcohol over indulgence if I was going to do one.