So where do you draw the line between personal and "as long as they keep it secure"? Your avatar shows a person wearing glasses. Assuming that's you, your DL most likely shows you have an A restriction. Do you believe HIPPA should protect you from anyone viewing your DL knowing you have vision issues?
Would you be fine if they asked for your LTCH, if they kept it secure? Why is one document okay when another is not.
The range has a legitimate (enough) reason for asking for/holding my DL. It is a) a form of ID, and b) held in trust while I use their property.
I don't know enough about HIPAA laws to know if they would cover DL restrictions, and the range would have no legitimate reason to ask for/hold my LTCH.