I second removing the graphics card.
Several days ago, my Mac Pro wouldn't boot into Debian, El Capitan, or the Snow Leopard disc. The first two would keep rebooting before finishing boot, and the third would KP.
I tried a lot of things + trail and error to get it going again (to no avail + it's my work computer and I can't afford for it to be dead), but out of nowhere, I got a hunch that it was the GPU. So because I had two installed, I removed the GeForce 8800 GT, which has given me problems in the past because it can be susceptible to heat issues (similar to the 2006 - 2008 FlakeBook Pros), leaving its additional GT 120 inside. Afterwards, it sprang into action, perhaps a little bit faster than before, as if nothing ever happened.
Try removing your video card, wait a while for the computer to possibly boot up, enter your password with the greatest of hopes, and attempt to adjust your volume while hopefully at that point being booted into your desktop. If it was the GPU, it should have booted, logged in just fine, and displayed the sound feedback from your speakers when adjusting volume. This way, you can deduce that you've arrived at your desktop without issue, and can then mark the GPU as bad.
I might repaste/pad my 8800 GT just to make sure there's nothing I can do to revive it (circuit board looks fine), but if that doesn't work, then I've got a spare fan and cool-looking enclosure to play with afterwards.