I don't think that direct satellite communication between two Arduinos is possible at the moment.
Satellite modems like the RockBlock are not expensive and are easy to use, but the messages sent by an Arduino end up on a web page, or perhaps can be sent to an email address.
Well you have discounted all the normal ways of sending such messages as too expensive or not being 'allowed'.
A 36" party balloon filled with helium, would certainly be cabable of doing the job, if all you want is 'morse code' type comms, but I suspect you were not serious about doing it that way.
I've aspired for years to launch my own balloon and transform it into a personal communication station, equipped with additional solar panels fans to enable it to remain stationary.
However, the issue is that this endeavor is entirely illegal without university affiliation and the necessary licenses. Additionally, I wouldn't be permitted to operate it for more than an hour.
Should it become legal, I assure you that even if it costs me $20,000 USD, I would not hesitate to pursue it.
I think it is quite safe to say that a communications system that works reliably over a distance of 50 km and is fully self-reliant (continues to work when the power is out) and independent from external services (such as GSM or wired phone/internet connections) is going to cost you a lot.
Satellite phone is I think the most commonly used civilian solution for this problem. The military likely has their own solutions, which likely cost even more.
In the last earthquake, GSM network was completely off, the earthquake hit major towers, also there was a peak in communications, all people was trying to call at the same time, towers have limitations.
I guess if I send a msg over a ham radio in my situation nobody gonna say anything! it's emergency?
So true. However, the OP will need a licensed individual on both ends of the communications. If Turkey does not have the equivalent license class to the one the OP gets, then there is no reciprocal rights.
That would be "broadcasting" and is not legal. Ham radio is designed for communications, not broadcasting. Besides, what would be the point if you cannot get confirmation that your message was received and understood?