Are you saying that there was no place in the interview to enter the amount from box 3 on your 1099-INT? On the screen where you enter the 1099-INT, you have to check the box that says "My form has info in more than just box 1." Then all the other boxes will appear, including box 3. See the screen shots attached below.
The amount in 1099-INT box 3 is automatically exempt from state tax.