This particular model seems to be bad news in Linux environments in general.
People having trouble installing Linux on it, getting it to boot, etc
To me this sounds pretty clear. We might still try to help getting this fixed but it won’t be easy I suppose. It’s not something FOG is doing wrong but HP decided to release a device that seems to be Linux unfriendly.
What I’d suggest is you download different kinds of Linux live CD ISOs and try booting those one after the other to see if any is able to boot up and run this hardware without issue. Ubuntu Live, Knoppix, Kanotix, CentOS live, openSUSE, SystemRescueCD, …