I drove there last year but the memory is the second thing to go and I can't recall which route I followed.
Mapquest avoids Manhattan and sends me over the GW, Google takes me across 34th St. from the Lincoln Tunnel to the LIE. Very familiar with both -- I think early Sat. morning (and I am leaving very very early before my wife dreams up errands -- will hit the Burger King across the street for breakfast) the Manhattan route (LIE) wins.
Hey you guys on the Island -- correct or not? GW or tunnel(s)?