No Tunnels for sure out of MD. Key Bridge in MD then DMBB, NJTPKE to 95N, GWB, Throgs Neck Bridge, 295 SOUTH (left 2 lanes coming down the bridge not the cross island pkwy), to 495 E (LI Expy).
There is no such thing as a fast route here. Only thing to do is try to hit off peak hours and there are about 2 of those
.
Get an ezpass.
If your coming from west MD then 81N to 78E,287N, 80E to GWB.
DO NOT TAKE ANY PARKWAYS ON LI OR AROUND NYC. Low bridges and trailers are banned. Northern, Southern and Palisades all illegal.