Could be your perfect berth in the West Village
The Jane has a great location, whether you plan to spend your time in the Village or wander around town. Your experience will vary according to your temperament as a traveler...whether you feel more comfortable in a 50-sq-ft Cabin or the more standard sized Captain's Quarters.
The cabin is cozy. The mirror along one wall gives a feeling of more space, and I had a window onto leafy, residential Jane Street (and if you peered a bit, the Hudson River.) At 5'5", I'm around average height for 1908 (when the hotel was built), and my bed was comfortable (although the spring mattress was a bit creaky.) I'm not sure how taller travelers would fare. If you value tons of space to sprawl in or socialize, maybe think about the Captain's Quarters.
The weekend I stayed, an open window was enough to let in the river breeze. A/C and a fan are provided. There was a complimentary bottle of filtered water which was refilled daily; I had to ask for clean glasses, but everything else was refreshed daily. Rooms have wifi, but only the captain's quarters rooms have a chair or desk. What a good excuse to leave the laptop at home! Your cabin comes with plenty of hooks, but you should bring hangers. 
My only regret was that the beautiful bar was off limits all weekend due to private parties. (Dave
Grohl got to go in; most of us weren't famous enough.) This was also the only source of noise 
during my stay (the joint was jumping until about 3am Sunday, which made not being on the VIP list feel all the more unfair.) You may hear faint sounds from adjoining rooms, but if you travel with ear plugs, or use the fan or A/C as white noise, you should be fine.
Shared unisex bathrooms are down the hall & kept spotlessly clean. The Jane provides slippers and robes (I packed flip-flops with an attached bottle opener, so I was prepared for anything.) There are several sinks, a hair dryer and a great hand dryer that would probably do that G-force effect if you stuck your face under it. Toilets and showers are completely enclosed (each behind a door which you can lock behind you) so privacy is not an issue, even with a full house. Over a three-day stay, I never had to wait in line.
Cafe Gitane, right off the lobby, is a sunny and pleasant space and the staff is friendly and efficient. Full breakfast is good, if not cheap; there are a la carte items available and you can't beat the convenience (especially if you get room service.) Both baked eggs dishes (with smoked salmon and capers, or tomato sauce and merguez sausages) were delicious and included toasted baguette; with coffee and fresh squeezed orange juice, they came to about $21 each. They also have sandwiches, Mediterranean-style entrees and a traditional petit déjeuner of coffee/tea, juice, and croissant with butter and jam.
Bonus: You can borrow a bike free of charge. The High Line trailhead is a couple of blocks away, and you can catch the subway at 8th Av/14th St or 7th/13, less than 10 minutes walk away. The trip from JFK was just over an hour by Airtrain and subway.