Anonymous Discussion- Option to hide names from students only

Community Explorer
Currently if the Anonymous Discussion has the options 'Off,' 'Partial' which gives students the option of sharing their name and profile picture, and 'Full' which means "student names and profile pictures are hidden from other course members, including teachers." We would like an additional option which would hide names on the student end- but not the teachers. 
We recommend that teachers avoid using any digital feature that limits their ability to identify students- both for classroom management and safety reasons. Teachers must be able to promote digital citizenship and hold students accountable for their online behavior towards their peers and be able to provide the necessary support and counselor referrals for a student in the event that there were concerning statements made.
While we think students not being able to identify one another in a Discussion would foster more honest responses, unfortunately we will be discouraging its use across the district as is.