Princeton, NJ is a beautiful area with a walkable downtown. We highly recommend you check out this college town if you haven't been before. The town is about a 25 minute drive from the venue and a 10 minute drive from the hotel. The website below has a nice list of foods, activities and shopping.
The Jersey Shore is only a 45 minute drive from the venue. Although October may bring some fall beach weather, the boardwalks are still very much open with beautiful views and shops and restaurants. Asbury park is one of the closet towns on the shore, but there are many other towns up and down the shore to explore!
If you are looking for a nice full day or even half day trip, Philadelphia is only about a 45 minute drive from the venue. There is also a train from the nearby Trenton Transit Center that takes approximately 1.5 hours to downtown Philadelphia.
New York City is about a 1.5 hour drive from the venue. There are also trains from the nearby Trenton Transit Center that take approximately 2 hours to downtown NYC. Just make sure to take into account varying train schedules and traffic conditions.