Consult an attorney in Turkiye. Never heard of university diploma being a requirement for a work permit. There are hundreds of thousands of refugees in Turkiye which do not have any diplomas.
Join a sweatshop (an agency) in upwork: they take care of finding customers in exchange for a portion of your income. DevOps with fluent English is a limited resource.
You can always create an LLC in the US and work for it remotely. So your employer pays a contractor (your LLC), LLC pays you dividends. Talk to an accountant in Turkiye, but I doubt there will be any taxation difficulties with the foreign income. You can get an LLC in Turkiye as well, by the way.
Search for a job in Dubai: English is the main language there, no taxes, adjacent timezone.
Give a slightly different spin to your story: give employers your US address, say you are a digital nomad which happens to be living in TR temporarily.