Don't change the withholding amounts on your W-2. Those amounts have already been deposited with the state and reported to both your state and the IRS.
These TT instructions do emphasize the importance of completing the non-resident state return first:
How do I file a nonresident state return? (intuit.com)
Sorry, I don't know how to avoid TurboTax fees. Maybe some other user will be able to help with that.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
