That does sound risky. The safest thing to do would be to start a long mission before you enjoy table top stuff (are you part of the Tabletop community here on Hive, btw?) and not log in to the wifi.
Or maybe, if you're able, run RSG over cellular if you really need to simultaneously play?
I'm not officially associated with RSG support though, so I'd mostly recommend asking there. Chances are you'll be told to do this first thing (aka don't do missions on the same network).