Sentence examples for no alcohol from inspiring English sources

"no alcohol" is a perfectly correct and usable phrase in written English.
You could use it in a variety of situations, such as in signs posted in public areas that prohibit alcohol consumption or in a policy handbook to indicate that an organization is a sober facility. For example, you could say, "Our office building is a no-alcohol zone; anyone found violating this policy will be immediately escorted off the premises."