It may be that your state does not offer direct deposited refunds. When filing your state return, TurboTax will let you know the available tax refund options for your particular state. You can visit your state's website to find out if they do offer direct deposit for state refunds.
Please see this TurboTax FAQ for additional information.
SC allows direct deposit, but I can't find where to enter the account information in TurboTax.
If your state offers direct deposit and you have not yet e-filed, you can go to the File section and enter or update your bank information. For more information on where to enter your bank information, please see the FAQ below: