ASUS Zenfone Zoom S - display not working, forced to connect to computer?

Question

ASUS

Gentlemen, is it possible in some ingenious way to connect a smartphone with a non-working display to a computer?
Hello, the display in the smartphone is covered. Just faded. Nothing is visible, but it reacts to touch. The system is working, turns on and off.
I myself sometimes develop on Android, but my knowledge has dried up here ... Can someone tell me something?
I really want to save the data in the internal memory.
I read and tried everything on the Internet. Does not exceed.
so.
- The phone connects to the computer, but is not recognized. There is a characteristic sound and a new USB device.
- adb debugger doesn't see the new device.
- various utilities, want "debug mode" - I'm happy, but the screen doesn't work. I can't do anything.
- tried to blindly go into the bootloader settings to no avail.
- There is a guarantee, but people from the service say that if I send them the phone, then all data will be deleted. And that's exactly what I don't want.
More ideas? I would be very grateful. Maybe there are some tricky devices that themselves forcefully connect the phone to the computer?