The next round of super doubles at Kmart is scheduled to start this coming Sunday and last all the way through Saturday 11/6. To find whether your local store is participating you can check out on their website. Just enter your zipcode to view your local ad for next week. The super doubles are advertised on the front page.
To help you get your deals together I recenty found out that Hotcouponworld has put together a price book for Kmart. In addition next week ad has already been matched with coupons you can use. Check it out here.