@leah ouch :(
The following Apache .htaccess fragment seems to have worked well for a phpBB forum I administer:
==
BrowserMatchNoCase "claudebot" bad_bot
Order Deny,Allow
Deny from env=bad_bot
==
(of course it is even better when they don't make it to Apache at all, but I got the impression that they're detecting they're not getting useful responses anymore and then stop trying)