Wow, this thread is still alive!

I didn't think navigation was such a contentious issue.
Michelle, crane collapse is on the East Side, far away from both GWB and Tappan Zee, so it's a non-issue no matter which way you go.
GWB means that you would then need to take the Cross Bronx Expressway: in other words you should avoid this route like the PLAGUE.
Stick with the Garden State to I-287 to Tappan Zee route that everyone is suggesting.
(The Cross Bronx Expressway is arguably the worst, most congested, ugliest, truck infested, most polluted creation known to man).