The 195 and 220lb classes at the Hays tournament were some of the most physical and athletic I have seen all year. Like you said, many teams/coaches leave when they are finished competing so they miss out on the big guys.
Do a random draw and keep multiple mats going for the finals. So if you draw starting at 170 for instance, do that and 182 at the same time, or I saw a tournament in Vilseck do a format in the finals where they started at the middle two weights and then one class would go up and the other down, so 160 and 170 matches would be followed by 152 and 182 and so on.