Here are the specs for your Hurley 20':
HURLEY 20 sailboat specifications and details on sailboatdata.com
She is a 'bilge keeler' and a perfect boat for the Great South Bay. The twin keels would also be useful in parts of LI Sound with it's 8' tidal range.
Your intended route to NYC back to Fire Island Inlet sounds fine on paper but I'll point out that FI Inlet is about 50 miles from both NY Harbor and MTK. Since there is less and less daylight as we head into the fall, will you be able to cover that distance in one day while leaving enough daylight to get through the inlet and hopefully at least anchor? I have been through FI Inlet on an ebbing tide in mild weather and it can throw up some nasty high waves, so you don't want to arrive there in the dark on an ebbing tide. The USCG Coastal Pilot has descriptions of all the inlets on LI that is worth reading and downloading for later use. It is free too: United States Coast Pilot®
After a quick glance at the charts I can see why you might not want to try going through the Shinnecock Canal and into the GSB as you would have to un-step your mast to do so. The same is true for Jones Beach Inlet and Rockaway Inlet but these inlets should be your Plan B places to use to get off the ocean if you need to. Besides, it would not be quite the adventure you would have coming around through the LI Sound.
I have also been on the LI Sound with 50 knot gusts and it ain't pretty either. In the fall we can get this kind of weather. You will have to pick your weather carefully as you make your way west and south and back around on the ocean.
As for magazines, there is 'LI Sail' and 'Soundings' that come to mind. I would not expect a big payoff from writing an article for them, if any. Magazines are having a hard time keeping afloat these days. It might help if you have published articles in some publication but do not get your hopes up for big money. I expect you could contact both of those publications via their websites although it always seems to me to be better to contact people like this in person.
Whether you get to publish your idea or not I'd still be interested in reading about your experiences. Heck, I'd even meet you somewhere around NY Harbor while you are passing through, if possible.
In any event, good luck.