1.1 USD/mo for 2TB is basically a giveaway or free plan, i.e. you’re the product not the customer. So I’d be suspicious. How much storage are you looking for? Hetzner unfortunately jumps from 3.2 euro/1TB to 11 euro/5TB. So 2TB is kind of a bad spot on that scale. But if google drive is working for you and your stuff is encrypted, why not keep it?
I wouldn’t count on google drive doing anything in particular after expiration, unless that is expressly part of the product description. Just because you can observe it happening now doesn’t mean you can expect it to keep happening. For that matter, Google cancels products all the time. So I wouldn’t even rely on the paid plan not being withdrawn at some inconvenient moment. If you really want to use it, then best strategy is probably use it as long as it lasts, but have some plan B in mind if it goes away.
Oneprovider.com shows lots of offers in Istanbul, though servers are expensive there compared to a place like Hetzner:
https://oneprovider.com/search?&cities[]=62&price=0&price_max=9999999999999999&price_any=0