Hi Ginger Ninga,
I'm also in the same dilemma as you. I'm going out to Doha for the middle two weeks in April to visit my fiancé. I'm hoping to hire out a Cessna one afternoon and do some dessert VFR flying.
I've emailed that Qatar flying club three times now and no reply. It's becoming a bit of a joke now. I also can't find any charts online. I thought my sky demon account might have a Qatari chart but it doesn't cover the Middle East.
I was in Las Vegas back in October there and I got all my FAA paperwork signed and an aircraft hire sorted within 20 days. Really speedy service and very helpful it just seems it's the exact opposite with Doha. It is a shame if this is the case.
I'll keep you posted if I find anything. I'm going to have a word with one of the instructors at my local club who used to fly out in the Middle East and see if he knows of anything.