NO NO NO!!!
DO NOT take the GW Bridge! In addition to terrible traffic issues, there are propane restrictions that require you to be in the proper lane to get on the upper deck. On the other side of the Hudson, the Cross Bronx Expressway and the Bruckner are a maze of construction zones and rough road conditions.
There must be at least 100 threads here just in the past year about ways around NYC. Most people go I-95 to the Garden State Pkwy, to the Tappan Zee Bridge to rejoin I-95 west of New Haven. We ran this route a couple of times on Sunday and there was just normal traffic with few backups.