Looking at the SX80 admin and API guides, I didn't see a way to hide the on/off option on the Touch 10 to prevent a user from deactivating SpeakerTrack, so looks like it isn't possible. You can hide the on/off option entirely if you actually turn off SpeakerTrack, but that is the complete opposite of what you're trying to accomplish. The non-persistent mode wouldn't help in this case either, as it prevents configuration changes, the on/off option is tied to a command, and not a configuration option.
Suggest you contact your Account Manager to open a feature request, I can see where this could come in handy depending on the environment it's used in.