Multiple User Group - Conflicting Permissions

[Adam81]

I offer two different subscriptions on my website. The purchase of either product gives that user access to that part of the forums depending on which product they purchased. The problem I am running into is if they sign up for both products they are not able to access both parts of the forums because the permissions for group A prevent you from accessing group B and vice versa. Anyone have any ideas how I could solve this problem other than forcing them to sign up for the other product under a new user?