"Yes, I am more than willing to submit any necessary materials for the background check and credentialing process if I were fortunate enough to match into your surgical critical care program. My only criminal violation on my record is a speeding violation in my car from a couple of years ago, and I paid that fine promptly."

Be as open and honest with your interviewers as possible. As an experienced resident, you know all of the background checks that will be required, so discuss any blemishes you have on your criminal record and any gaps in your employment/training history. Being forthright will help in any credentialing and privileging processes that will happen down the road if you match into the program you are interviewing with.