There is a link on MyPoints for Menthol Smokers. Go to:

EARN POINTS
TRY IT OUT

Scroll until you see a link for coupons for menthol smokers. It says that you need to fill out a survey. I got the 10 just for clicking through. There is no instant confirmation, but when I hit back on my browser, I got the pop-up telling me that the reward had already been credited to me. I will update once the points post.