Ron:
For comparison purposes, I had purchased a vehicle from a dealer in SC and trailered the auto to CT, did not pay any SC sales tax, but did pay the  tax in CT to obtain the registration.
SC Dept of Motor Vehicles contact:
By E-mail
help@scdmvonline.com.  Our Customer Service Representatives will promptly respond to your e-mail. These emails are answered during normal business hours, which are Monday through Friday from 8:30 am to 5:00 
pm.
By Telephone
Most questions may be answered by our customer service representatives of the DMV Call Center at (803) 896-5000.  The Call Center is open Monday through Friday, 8:30 AM to 5:00 PM.