Sounds, like you're looking for a panel management software?
You could probably implement something like this, using the opt-in and address list feature of SoSci Survey, combine it with statistic() or the quota question types (for the monthly limit before people get on the waiting list), and with some planning logic, written in PHP.
I'd say: It's not a common use case for SoSci Survey. It will likely require some programming practice to build how-I-understand-your-question's-scenario. However, your description is quite short. If you want to tell more, I'll try in a more specific answer.