Alfred, the #4 cap screw, particularly if done in chrome, would be a nearly invisible solution to a vexing problem. For a very nice driver, and even for a show car. Every show car, even the most perfect, has flaws. So, suffer the .5 deduction and make it up elsewhere!
I have not seen any photos of the studs replaced. However if you were to fabricate a stud with a wide base, then use some really good adhesive, it should last. The trick would be to get as wide a base as possible to maximize the adhesive.