Marc,
I have been to South Africa three times. The first was a seven day bowhunt with a friend, but asked my wife if she wanted to go along. To keep her company I asked our grownup daughter if she would like to go if I paid for it. Of course she said yes. While my buddy and I hunted, they went to Kruger National Park with tour guide Ronnie Haywood of African Adventures and had a great time. When they got back, my PH talked my wife into coming back to hunt.
So, my wife and I went back again the next year, 2018. This time we we did a 10 day Victoria Falls trip with the same tour guide and had a fantastic time. He then dropped us off with the same outfitter I used the year before. Now, my wife had been shooting archery for almost 20 years, but never wanted to hunt. Well, she ended up shooting more animals than me.
Our third trip was last July 2021 ( were supposed to go in 2020, but COVID messed that up). On that trip we did a seven day Kruger National Park Safaris with the same tour guide, and then finished up with a ten day hunt, again with the same outfitter. On that hunt we ended up shooting ten animals, five each.
So yes, I would sneak in a hunt. I would even have your family sit with you in the blind, if they use waterholes. There is so much activity to keep them entertained.