I often said that when young people go out late at night, there is an unwritten rule that “Mitzvot generally do not occur after midnight when was out and about town.”
Contrast this to the words of the Rambam who said the following: If one really desires to acquire the כתר תורה, the Crown of Torah, he should take great care not to waste his evenings with emptiness and nonsense.
He should be spending his nights delving into studying Torah and learning from the wisdom of our sages. Because most of the wisdom that one retains and stays with him, comes from his study at night.
So where should one go at night? To Ben Yehuda or to the Beit Midrash? The Rambam would say that the answer to this is a no brainer.