If we want to stay with the monk theme, how about The Cloister Cafe (238 E 9th Street) for dinner in a nice outdoor garden and Burp Castle (41 East Seventh St.) for drinks?

Some stuff on Cloisters:
Cloister Cafe, 238 E 9th Street, 777-9128, $10, Italian French.
Review of Cloister Cafe

Some stuff on Burb Castle:
Honoring the Lord's Work in New York City: BURP Castle
PubCrawler Review
review with picture

As an alternative maybe Swift's Hibernian Lounge (34 E. 4th Street) will do. It has got great beer, decent cheap Irish Pub food, and a great backroon with a long monk-like table.
Review of Swift's

Get Strong Together!!