Well check those following saloons:

-Landmark Saloon.
-Laialy2 Saloon.
-Diamond Saloon.

And there one good, almost near to Almarkhia round about called Lebanies Saloon and another one near to Souq al Ali called London Saloon.

The best I have tried yet (kinda far) is La Duree (joe's Raad old saloon) it's almost near to Al Hilal.

I have tried all above and they were so professional.