I second the idea to get drinks somewhere on West 44th Street. That way you can get to the RR easily by cutting through Shubert Alley and then also going through the Marriott passage and avoid the main streets, which will be a zoo. I ate at Carmine's the night I saw Hamilton, but that's only good for groups (there were six of us). It was really easy to bypass the crowds from there. Carmine's does have a bar, too, though. The address is 200 West 44th Street, in case you want to check it out for drinks.