Due to political sensitivities and the proximity of a number of borders, I think renting as a PPL in the UAE will be highly unlikely; if you do manage it I suspect you'll be accompanied at all times, and will be filling out forms ad infinitum. Lots of guys used to fly over to Cyprus for their flying, which is about half the distance back to the UK.
I spent many years in the region so have a fair idea of what you can expect. But good luck, and I hope you find something.