Sleeping on ur back/switching sides can help prevent further assymetry as constantly favoring one side in side sleeping for a very long time can help in assymetry and as u said assymetry can only be fully corrected with surgery but certain facial exercises can help with assymetry subtly if the cause is muscle imbalance/posture related it won't work if that's ur actual skull , I recommended it just incase those were the problem I'll clarify next time and recommend chewing i forgot to add that thanks.