I was at a coed baby shower once. The baby was already on scene so it became a meet the baby party. The hostess was quite creative in her games. And the prizes went to the person who won the game, not to the baby mama.
I offer you this as a suggestion of a game: The hostess bought, as her gift to the mom, all sorts of little things. Socks, rattles, soothers, little baby toys, etc. and laid them out on a tray. She then got the mom to walk around the room, showing the tray to everyone. Then mom, and the tray, left the room. Of course, we were all expecting to write down as many of the things on the tray as we could remember and we had all been memorizing as we were shown. The hostess then said, 'Write down as much as you can remember about what mom was wearing. Threw us all for a loop but it was fun.
Nothing annoys me more than winning a little prize and then being expected to turn it over to the GOH. I won it; I'm keeping it! And then the guilt trip starts. Fortunately, most of my friends aren't like this and it has only happened once or twice.