You should be filing a non resident NC & a resident SC return where you would get credit for the taxes you paid in NC. Now this may mean that you have no tax liability on the SC return if the credit covers it all ... if so the solar credit will be useless on the SC return.
Now the good news is the unused credit can be carried forward for use later ... but if nothing changes you will continue to get the same result ...
https://solarpowerrocks.com/south-carolina/de-ciphering-the-south-carolina-solar-energy-tax-credits/
