I am not sure what you'd mean by whole check-up but I had one last year at this hospital and it was included in the private health insurance for free. It does not list every item but it might give you a rough idea (yes, I had a chest x-ray and a general ultrasound check):

https://www.livhospital.com/en/liv-branches/check-up-center

One last thing, probably there is a better English term for this but we have these government institutions in each neighbourhood. They are small and they employ 4-5 doctors and a couple of nurses that provide first level healthcare. (I would say there is a doctor for around 5000 to 10000 people) If you would go to your assigned doctor and ask for it, they do many of the blood tests at the same day and hand the results. This is a common procedure afaik and your doctor would be encouraging to do it every 12 months even if you don't ask for it.

Yes, we don't make too much money and pay about 25-40% income tax but we don't need to shill thousands of dollars for a facetime call with a doctor.

My suggestion would be to visit Turkey and spend those couple thousands USDs on check up and some nice vacation :)