I'm on Logos 2.0.11 with a Galaxy S3, and when I go to "About," the option to change to the beta channel is gone. Is that a feature?
No, the beta channel is not gone. The beta channel is only accessible via downloading & installing an .apk from Logos. Any version of the Logos app that is installed from the Google Play Store (or Kindle store) are not able to run the beta channel.
There is a possibility, unaware to you, that the Play Store updated the Logos app when it released the latest stable version, thus disabling your access to the beta channel. To rectify this set Logos to not update automatically in the Play Store, and reinstall the apk file from the Logos website.
This happened to me a week or so ago, and the steps above worked for me [:)]