As you say you can try tuning the snare up or down until it is less excitable so to speak. But personally I wouldn't. It's debatable whether this behaviour is something you really want to get rid of. The rattle adds to the attack of the other drums and it's one of those things that makes a real kit sound better than samples. Furthermore, if you subscribe to the 'tune the drums to the song' approach, that will take precidence. If you subscribe to the 'tune to the shell' approach, equally that will take precidence too.
So I wouldn't worry about it too much. It's a far greater issue when you have sustained instruments playing in the same room which are exciting the wires at certain frequencies.