Do the hell gate run...and you can stage in Port Washinton Harbor which is nice and protected so you can time your arrival to full high tide at Hell Gate
On the East River, use tide tables for New York. High tide at Hell Gate, Hallets Point, is 2 hours, 4 minutes later. SLACK tide only lasts for four minutes so you want to time things closely and NOT arrive early as you want the ebbing southerly current to help you. Stay OUT of the center of the channel and off to the sides where the current is weaker. Biggest issue is traffic so just monitor 13 and 16 and keep an all around watch.
You must plan carefully but it is a fun ride and wonderful sightseeing! You may want to make a stop off Liberty Island to wait for the flood tide up the Hudson as well since it is not much fun motoring at 2 knots! Have fun!!