Every now and then, you may see an ad on Amazon's homepage or on other websites offering $10 off when you set One-Click Payment to Discover. Keep an eye out for it.
Remember, it only works if you click the ad in the same browser where your Amazon account is signed in.
If the offer in the link above does not appear, scroll down on the Amazon homepage and check for it. If it still isn’t there, you’ll just have to wait.
Also, I found that after clicking this link many times, the ad shows up right away when visiting the blog.