Rowling rarely signs books, and the copies being auctioned are the only known signed complete set in the United States.
A similar set sold recently in Scotland for $40,000 (28,178 EUR).
The seven-book set, donated by Rowling, is the only item that can be bid for online.
The fundraiser, emceed by TV talk-show host Jay Leno, is scheduled for Oct. 26.
The money raised will help the press produce Braille books for children.
Rescuers found the pilot of one of the two Su-34 fighters that had collided in midair in the Far East on January 18