How to find troll IDs and reveal them?

Frogponders,

I come to you humble in my request for information.  I know that many of you are skilled in the behind the scenes world of the internet.

We have a growing problem of trolls at our website.  This site is not political, but political discussion has attracted trolls.  

I’ve have learned to use the software running the forums to ban users.  But, I’d like to research further to prevent reincarnations.  FindIP and WHOIS are my only weapons right now.

May I throw myself on the kindness of the Pond to request better ways to hunt down and shut out the trolls, please?