You could take a couple different approaches.
1. Just treat it like a game day where you're playing 4 games of X-wing.
2. Don't check the standings.
3. If you do connect with someone, check in to see how their games are going.
4. Fully expect the dice to abandon you in at least one game.
5. Find a second outlet for your competitive side, so it doesn't get concentrated on this one game, possibly ruining the fun.
6. Call your wife or a friend after a match or two.
Just a couple things to try to keep your mind off of you & your squad.