I don't think any Navi will give you the best route out of the city. Driving in the city is an organic thing. You have to accomodate for time of day (you can't turn off of some cross-town lanes), construction, etc. I garuntee half the stuff isn't reported to the news or xm so they wouldn't show up on the Nav.
The real question is from where in queens are you leaving from. there are plenty of ways back. Personally, i take the williamsburg bridge and cut down broome and i'm right in the holland. However, if it's prime time 8-10am or 4-7pm, then I'll jump on the 59th street bridge and