I think you already have because you installed Whatevergreen. Back in the "old days" an unsupported AMD GPU gave a black screen during the boot process up until the log-in screen. There is a lot of discussion here about the reasons.
I haven't seen any extra options in my BIOS for DP output, only the Internal-GPU or PCI-e GPU. For my system I have the iGPU set to Auto, which means it is basically Off when the OS kicks-in, and PCI-e Initialising first. With Whatevergreen (or Radeon De-Init set in config.plist) the black screen problem is mostly cured. However as you have installed Lilu and Whatevergreen it must be some other setting.
I would check what spec your DP monitor has (1.1 or 1.2 etc) and then do some searching here to see if anyone can offer guidance from personal experience etc.