I think this might be a good solution. I would take it slightly further.

Only allow Anon posts on the root node of SoPW & to replies of that node. So you could have:
root node by anon,
then a reply by a named monk that asks for clarification or such
Then there can be an anon reply to that.
This would allow anon monks to ask questions, but if they troll, just don't reply and in most cases it can be deleted if warranted. (yech grammar)

That would stop posts like: Reaped: Re: TIMTOWTDI -- so long as it's not my way