>>>>>>The cost of each certified birth certificate would be $30! .... it takes longer than 8 weeks,<<<<<<<
You might try the local City Clerk or County Clerk where you were born, they are usually cheaper and faster.
In my own state of birth you can get BCs from the local town/city clerk (where vital records are initially filed), or you can go through the state Registrar but at a much higher cost because they outsource that function to a third-party for-profit processor.
It’s like registering a business: you can easily go directly to your state Corporation Commission, or for twice the price through a third-party.
I am 100 percent certain that most local Registrars in NY can provide you with your BC for a nominal fee and usually with walk-in service.
That's the key... "With walk in service." I'm 1400 miles away, and have to do it "long distance." Unless I'm there in person, they insist that I have to go through the service.
Mark