I did the quest, got the eye on my head and it ruined the look of my T4 warlock outfit. Then I remembered that these things can bug. So I tested a few disguise toys and the answer is the vrykul drinking horn! You have the eye, use the horn, remove the buff and you have whatever you selected for your head visible instead of the eye. You have to repeat this every time you have a loading screen or transform your character even with obsidian nightwing or similar. It also doesnt hold very long with this trick without interference. It seems to be almost permanent in nazjatar and the old world. In Kul tiras and zuldazar it seem to only hold about ten minutes.
I switched to the pet battle hat toy using a macro to use it and remove it. Saves me the roar from the horn.
We keep the voices because they tell us to keep them.