I think I'll just find out somehow what Alexa's IP's are and use .htaccess to block their range the same way I did with Cyveillance. It goes something like this:
deny from env=ban
allow from env=allowsome
deny from 22.214.171.124/27
deny from 126.96.36.199/27
The deny from env=ban is part of a spider-trap setup. I havn't seen them hit the trap since.