You'll have to reveal the arrest. If the court grants the name change the criminal justice system will have a record of the old and new name.
If that doesn't bother you and you have other reasons besides distancing yourself from the record, you'll probable get the change approved.
Here's the statute:
http://www.scstatehouse.gov/code/t15c049.php
Here's a forms and instruction packet I found online:
http://www.scequality.org/public/fil...cket-small.pdf
Your local family court may have it's own set of forms and instructions, but that packet will give you a good idea of the process.

