@Gailyn-And-Adam0 You could introduce a fee for excessive waste to your House Rules, but if the guest doesn't accept your Resolution Request for the charge, there's no guarantee that Airbnb will back you up on it.
10 guests, though - that's a lot of people. I'd suggest raising the Extra Guest Fee and stipulating that larger groups will be visited by housekeeping every "x" number of days for trash collection and site inspection.
Alternatively, it might be worth reducing the maximum number of guests. The tendency for a lot of hosts is to allow the maximum number of people that their furniture can sleep, but sometimes other circumstances need to take precedence. In your case, the amount of waste your property generates is a factor, not to mention the environmental impact of all the extra car trips. And then there's water and energy usage, and increased risk of damage. If you've found an optimal group size for all these parameters, perhaps that should be the maximum group size.
A third option would be to ask guests to personally remove any waste exceeding the allotted bins upon check-out. It might be an effective deterrent, but the obvious concern would be that they would dispose of it irresponsibly at the roadside instead of the proper facility. This might also be the case if you charged an excess waste fee.