Hey a lot of my friends frequent the rugby club. It is a good place maybe the cheapest drinks in Doha. Ok you dont need to play to be a member I think membership is about 800QAR for the year. You can get in without being a member but you need to be signed in and its 30QAR a time. You can just go in and frequent the bar, dont remember how much it is for a pint but it is cheap.

Hoped I helped a little but give them a call if you are interested.