Sounds like you have one main D.T instance that receives contacts from Echo.
From there a main Dispatchers assigns contacts to the correct sub Dispatchers or Multipliers, or transfers the contacts to a team's D.T instance.

I don't foresee any major problems. Here's a couple plugins that might help:

The Teams plugin for the main D.T instance. This lets a contact be assigned to a team for them to follow up with.

The Network Dashboard set up on the main D.T instance to pull stats from all the D.T instances.

The Auto Assignment plugin to auto assign contacts based on location.