I'm not in BHT anymore, but I would still recommend it. It is expensive (not sure of exact prices as we didn't pay the rent) but is one of the better places in Doha. I think they have a website.

Apartments are good size, there are good facilities, it's walking distance from City Center mall, Four Seasons Hotel, Sheraton Hotel, The Corniche (for walks).

Downside is it's probably still a good 30-40 min commute to the airport, and there's a lot of construction work going on around it.