The T+L report points out that that the TSA does leave some leeway as to how you identify yourself to them beyond pure star power.
The TSA's website explains: “In the event you arrive at the airport without valid identification, because it is lost or at home, you may still be allowed to fly. The TSA officer may ask you to complete an identity verification process which includes collecting information such as your name, current address, and other personal information to confirm your identity. If your identity is confirmed, you will be allowed to enter the screening checkpoint. You may be subject to additional screening, to include a patdown and screening of carry-on property."
They don't specifically list magazines bearing your visage, but apparently that's also an acceptable alternative.