He has kids, and I have a siamese cat, so there are limitations on our abilities to leave unsecured boards lying around.
keeping track of actual correspondence games

Just us a chess database program. I use SCID vs PC. There is some built in stuff for correspondence but I think it is designed for specific use cases. Just have a DB for your games.
Or get a couple of booklet stye magnetic sets. Keep the position on it and transfer to a board for analysis. Or just learn notation and write the game down and just replay the game to set up a board when you are ready.

For him, I don't know, maybe a shelf up high where the kids can't reach and if they are old enough, "Don't touch" always worked with my kids.
For you, maybe something like this to put over the board:
https://cdn-img-3.wanelo.com/p/f51/079/c48/9d1ab005430c8583c16ebf9/x354-q80.jpg
It is a cake cover.

Just us a chess database program. I use SCID vs PC. There is some built in stuff for correspondence but I think it is designed for specific use cases. Just have a DB for your games.
Or get a couple of booklet stye magnetic sets. Keep the position on it and transfer to a board for analysis. Or just learn notation and write the game down and just replay the game to set up a board when you are ready.
For me a database probably makes the most sense. Whatever I can get working first on my android phone will probably win out for me.

For him, I don't know, maybe a shelf up high where the kids can't reach and if they are old enough, "Don't touch" always worked with my kids.
For you, maybe something like this to put over the board:
https://cdn-img-3.wanelo.com/p/f51/079/c48/9d1ab005430c8583c16ebf9/x354-q80.jpg
It is a cake cover.
The cake cover idea is pretty genius.
A friend and I have started exchanging moves by postcard and are starting to wonder the best practical ways to keep track of our games in progress.