hey doha fan,
It seems no one here is a member at doha club but anyways...i would recommend the Beach Club..I'm not a memeber there but i have friends at the management and they i get invited there a lot.
It's mothing fancy but it's a cozy nice little place where you can just sit by the pool enjoy the warm sun and watch your kids play around you.
Food is nice and veryyyyyyyyyy cheap....
Good luck with your search and if you reach something better i hope you let me know.