you can even go back saturday if you want.. but it's certainly too short of a stay to arrive at 8pm and leave at 1am
No train at 1AM, no train at 2AM, no train at 3AM, no train at 4AM. There is an Amtrak leaving at 12:26AM and the first Metro North Train in the morning is at 4:40AM. Hence my getting back is a bitch comment.
Just book at room at the New Haven Suites. There are still rooms avail as low as 119.00 incl taxes and breakfast. Split it between a few people and Voila! You have a party.