ONLY DOUCHEBAGS SIGN TEES & BASKETS.
Just to be clear: this is strictly a maturity thing. Signing the sign or basket is the Disc Golf equivalent of giving a chick a hickey or writing her name on the bathroom wall - seems like fun when your 16, but ultimately, it's just cheap and tacky.
If you're fortunate enough to hit an Ace, whoop out load, savor the moment and make sure your friends buy you a beer. Remember it however you wish, but show a little class and dignity. On heavily played courses, it's just a matter of time until some holes have been aced dozens of times, and on holes that are truly Ace Runs, I don't doubt that number could easily hit 3 digits.
I play Fire Fighter's regularly - those tee signs used to be halfway decent. Now everyone and their mother has scrawled something on them. If that happened every time an Ace was hit during the Mon evening league that plays there, there'd just be little bits of white peeping out from behind all the Sharpie. Who needs to see all that crap on the baskets, tee sign's, whatever? Thankfully, the league frowns upon that sort of behavior.
I
GUARANTEE park officials considering whether or not to put in a new course check out neighboring courses, and ask people running those parks about what's happened since the course went in, what's the maintenance like, etc. Can you really picture all the ink making anyone involved with making that decision more likely to say "YES" to spending the $$$ to put in a new course?
Grow up and commemorate the occasion without defacing public property.
One thing I've seen at a local course is a space on the course bulletin board where people can record their aces. This is a preferable way to "show off" your aces to the rest of the park.
Seems quite reasonable to me, but I doubt too many parks will add that after the fact.
I think local clubs will have to ask permission to do that as well as foot the bill for it.