At last, with help of community member, we have found a working second hand NVidia 780 Ti device and figured out what to do if problem of "Constant game and driver crash after 1-3 minutes of flight" is presented.
First of all, we have reproduced this problem on most recent drivers 376.33. Indeed, problem appearing constantly. It can be removed only by reducing all Graphics options to miminal settings, and even this may be not the solution in case if resolution is more than full HD.
Also, investigation with using of debug version shows that hardware driver stop working randomly during standard procedure of dynamic loading of graphic data, which works ok for all others videocards.
As we have supposed before - it is NVidia problem and it is depends on driver version. So we have tried this solution and it works good - on our 780 game become to work stable for hours.