NY winters and Florida/GA winters i'm sure are very different.
I'm not sure what part of NY you're in, but i'm in NYC (Brooklyn) and we've had some cold days already, i think we'll have a harsh winter (unlike last year)... personally i wouldn't keep my kings in an unheated basement even with belly heat.
I keep my snakes in a heated room (I close off the heat a bit), with the windows cracked open AND I still supply heat to my enclosures. my heat runs along the back of my enclosures, none of my snakes get belly heat (I'm not a fan of belly heat)... personally i think a "hot spot" is better!
Additionally i think "we" need to keep in mind where the snakes we keep are from. A lot of people seem to follow the same method i've read in snake books no matter what species/subspecies they are working with, which is irresponsible in my opinion. you wouldn't import snakes from Asia and just subject them to methods that work for North American snakes so why treat every North/South American species/subspecies the same?
This hibernation/brumation thing (i believe) is highly overrated. I read all the books when i started getting into snakes they all read the same when it cam to feeding, keeping and breeding... over the years i haven't followed ANY of it and got great results. the 1st time i tried to "do it by the book" (just to see what'd happen) i got horrible results, some snakes didn't breed, some that did breed gave me slugs, some "perfect" eggs when bad really early, etc (some snakes showed no change)... Now it could be because my snakes were accustom to one method and this new method just threw them out of wak... but if my method, which goes against much of what i have read works, then how accurate is the method in these books?
I feed most of my snakes all winter, i don't feed my adult males as much as i feed my adult females. i feed holdbacks alot! with last season as an exception; most of my females breed early, i get large clutches with health eggs or small clutches with HUGE eggs and i have double clutched some females without any trouble.
hope that was helpful

~ZF