RSVPs within Member Area

We are updating our events page so that all of our events, even those that are only available to our members, are public. For the items that are members only, I'd like to have the details of that event and, where needed, the RSVP link, behind the Member Area. What's the best way to do this, and is there a recommended third party RSVP tool that works well for something like this? I want everyone to see what we have going on, but some things are for our members only and don't want them to have to do a lot of clicking to get to necessary details.

Another option is potentially to share a Google Calendar that is just for Member events with details with our members, but it wouldn't provide RSVP details when we need it.