Can I limit access to a Buddypress forum this way?

I have a paid-for membership site and I want to add a forum to it. I want to limit access to the forum to the paid members of my membership site. That means that if you aren’t a paid member at my membership site then you can not access the forum. It’s okay if non-paying members can see the front page of the forum and the front page of any category page within the forum, but I don’t want them to be able to read any of the threads on the forum.

Do you have any suggestions for how I can accomplish this? I’m using the DAP (Digital Access Pass) membership WP plugin on my membership site.