Having just departed the UAE aviation scene, I can only agree with what all the previous threads have said and that is that the only Academy for Helicopters in the UAE at the moment is Horizon in Al Ain. There have been adverts in Flight International recently for Ground Instructional staff for an academy in Ras Al Khaimah; others will no doubt give more infoon that enterprise.
Horizon is mainly set up for training military pilots from Gulf countries and as they have such a guaranteed flow of students, they're not much bothered with private paying clients. It is true, also, that they are only using B206s despite their website saying they operate the AS350. The cost of the B206 is prohibitive,unless you're a millionaire of course. One good aspect of Horizon is that all the FIs there are top notch with heaps of experience,although looking at other threads on this site, the numbers are dwindling.
Whatever your reasons for flying in the UAE, good luck and enjoy the life. RAK is the coolest of the emirates and had snow there when I luived in the UAE.