Can't install Kali from USB (black screen). Only failsafe live mode works.

As in the title - Kali menu boots up, but no installation options work. Selecting any of them turns screen black with no text or anything and LED on flash drive stops flashing. After couple minutes (2?) laptop shuts down automatically without warning. Selecting live option shows some text (last lane is: "0.90535] ACPI: No dock devices found."), but selecting failsafe mode loads the system flawlessly.
Any ideas what should I do?