Sorry for the delayed response. Do you have a GPU you can try and see if that changes anything?
Do you at least get the BIOS splash screen? Can you enter the BIOS? Do you get any display at any point?
When the computer "stays on", is it booting? I mean is the hard drive active? If it does seem to be booting, but no display, maybe try to time it out and see if you can get it to safe mode by hitting F8 early on and just let it go into it. If you can get it there, do you get any display then?