DJdevon, don't think I don't appreciate it. Hell I advocate it.
There's an old saying, 'if you can't beat em, join em.' So why not get over how important your site is and let the rugrats terrorize your site. After a while they'll get bored and move on.
I still do not think banning is a solution and I'm not about to rehash why it's a bad idea. I think most webmasters understand why banning is a bad idea, and if you still think this is your solution then so be it. Choice is what the world is about.
But.....to stay on topic for this forum...
Banning does not stop troublemakers it annoys them. Annoying troublemakers is like painting a target on your home and asking them not to use it for target practice.
Banning cannot control access or restrict access except by using what I call 'sledge hammer' techniques. Unless you ban huge blocks of IP's it's never effective to your average dynamic user.
What does work is gathering the evidence that the offenders violated your usage policies, and a report of that violation to the ISP in control of the block. This will get the little rug rags outta your hair very quickly.
Of course you could also call their mother and have a chat too. If they are underage you should get a Guardian approval to use the site, and request a contact phone number for approval. Then when they apply you can call them and advise them that any abuse will hold the parent accountable.
COPPA in fact demands you do this especially when the content (most gaming sites) are rated Mature.
Just my two cents.