Maybe only allow 1 monk of each level to join teams.
That way we would have an (in theory) even mix of experience.
No less than 3 teams.

Some things to consider:
groups may get cliqueish (this has been my experience)with victory
and only want to work as that group again.

Maybe the groups could be randomly assigned with a virtual hat.
Some groups may bicker about a group member that isn't holding
up their share of the load so maybe the group that wins/places
could vote on each other on how much XP they should receive from the booty
i.e. 75% of your group members agree you should receive your XP
so you get 75% of what your share would be. Or may be the group gets the average
and The remainder could be split among the people who placed (let's have no 'losers' please)
that way the desire to vote someone completely out 'unfairly' could be checked
I don't know how well this would work.
Just a few thoughts.

If we can come up with some fairly good rules the moderation vroom
would have to do <var>could</var> be minimized.

I think we have a great group of problem solvers and we can come up with a way
to make this happen.