Which splash screen are you seeing? One showing the manufacturer logo (example, Asus) or one showing Zorin?
If it is former, use the various suggestions here to get into BIOS - https://www.tomshardware.com/reviews/bios-keys-to-access-your-firmware,5732.html - once in BIOS, I strongly recommend disabling Secure Boot under UEFI. There could be other adjustments you can make but UEFI seems to be the typical problem.
If it is latter, either hold Left Shift OR repeatedly tap Esc (try both) - once you get the recovery menu, try this [SOLVED] Black screen after install
Given your “2nd edit” - your keyboard is likely USB. I have had that issue on an Asus mobo. Try plugging in a PS/2 keyboard.