For years we have been using dice towers. They keep things tidy, consistent and civil. The latter is not really an issue, but it just heads off at the pass any disagreements.
Some of the guys use natural wood box-shaped dice towers. I have made my own using carpet cardboard tubes. I cut slots into them at opposing angles, stick art board card into the slots to create the agitation I then finished them as castle ruins. These have served me for years. I would, however, like to make period specific ones that fit into the terrain of each game. This might be particular ruined buildings or disguising the towers as rocky hills....not sure yet.