For what it is worth, the boiling on the deck could be a potential nuisance or perceived possibility for other crimes, which if done in plain view might give rise to probable cause for entry/ then plain sight doctrine thereafter; so immediately forcing their way into the unit is not entirely outside the realm of legality for the officers.
I say kill the neighbor with kindness (offer him or her the beer when it is ready) and let the cops in - a search warrant (if required to be obtained due to non-cooperation) can be executed with a fairly quick knock followed shortly by a battering ram.
I'm just sayin....I like Tom's approach.