Taxi to Edison will cost around $100+. You can take Amtrak from Penn Station to Metropark which is the closest Amtrak station to Edison or NJ Transit to Edison, although late night service is infrequent on both train lines. Options for getting to Penn Station at that hour are taxi ($45+tolls+tip), or AirTrain from terminal to Jamaica Station ($5) and LIRR ($5.50) to Penn Station. The E subway ($2.25) from Jamaica also stops at Penn Station but opt for LIRR at that hour instead.
Taxi to Edison will cost