Visit QBC - Qatar Badminton Club near Doha college. Timing 5.30pm to 10pm. everyday except Friday. But for me it's not the best place. It's just two courts and the other court is just for the member there so you should wait for the other court to be available. If they give you a chance to play. I heard that there's a badminton court in Ramada and Aspire, you can try there..