If you were hoping for a more private audience, I think you need to be pretty far up in the Catholic hierarchy (or a celebrity) to warrant that. But here are a few links that explain the various papal audiences. You might want to go for a private tour of the Vatican, which might be interesting to the couple.
https://www.vatican.va/various/prefettura/index_en.html
http://www.papalaudience.org/information
https://www.vaticantour.com/
That said, the papal audience for the public is very interesting and can be very motivating. I was there in 1997 and sitting very very far back with a couple from the US that I had met while going through the metal detector. However, when the pope-mobile came out with the pope, it suddenly turned and came down our row (we were sitting in the first row of our section). The woman and I both jumped from our seats and leaned forward holding our hands out. When he got to us, he touched both of our hands. We were so stunned we were speechless. One of the Swiss Guards came over and laughing, said, "So, you will never wash those hands again, eh?" It really was an incredible experience. So you never know... :-)