Alligators, as I mentioned, are covered under different legislation...and a different permit. If you were looking at the law about alligators, there's no reason for you to find anything about burms.
Your problem with getting rid of her will be the fact that burms are now listed as injurious wildlife, and can only be shipped across state lines legally for about another week (the rule was finalized on 1/17...it was planned for publication a few days later; then 60 days after that, it starts messing with our little worlds. I wouldn't be comfortable doing it after 3/20/12, which is a week from today).
Here is a publication by the USFWS, entitled
What the Listing of the Four Constrictor Snakes as Injurious Means
For People Who Own Snakes (it's 5 pages long, so I'm only posting the link)
http://www.fws.gov/home/feature/201...eInjuriouslistingforthe4constrictorsnakes.pdf
Your options are somewhat limited, at this point....you can try like heck to get rid of her by next week, you can keep her (with or without a permit), or you can look into possibly exporting her. I can't say whether they would give you grief about exportation - there are two points which could present a problem: you'd need to get a health certificate, and the package will have to be inspected prior to shipment. At either place, DEC could potentially be contacted. Would they care?

DEC has always been understaffed, and a burmese python leaving their jurisdiction probably isn't a big deal to them....then again, if there is anything the government can be counted on to do, it's screwing with people.