When I was in high school (not old enough to drive) I used to carry my clubs on my shoulder all the time without any trouble. Admittedly, that was 25 years ago, so my memory may be off.

One thing about your post is unclear. Do you want your clubs with you at all times (in case a sudden opportunity to play golf arises), or will you only be carrying your clubs when you have specific plans to play golf? If the former, maybe you should consider a locker at your club (if available) and just leave your clubs there all the time.

Paul