Ali and IS, I think the Red Sea and the Madagascar do not comply with his requirement No. 4... I think the same about the Comores.
However Turkey is complies to all of those - there still are areas which are little to not infested by tourists. Right before or after the peak season it's the best, cause it's not too hot, it's cheaper and the toursts are absolutely gone.... Besides - lots of old rocks and stones. Mind you, they do care a lot about their heritage since Schliman plundered Troy. As for Requirement No. 2, I am sure there are several members of DeeperBlue in Turkey who can help you Sinkweight or even take you diving. You might even take a freediving course with Yasemin Dalkilic, or if you're already master at this - just visit her...
As I said - stay off the big resorts, and go the month before or after the season... The water is still warm enough...
I would've recommended you my own country, but the only problems are the vis and the depth - you have to swim for for a mile before getting to -30 m depths.
Cheers!
IB