Sorry for the late reply everyone.
I finally got my hands back on his rig and did some fiddling. I put everything on a bench and blew some air at the VRM section of the board and around the socket - temps went down 4-5 degrees celsius, but even under ideal case conditions this part of the board will never be cooled this much.
I'm in agreement that the VRMs are definitely the problem here - but if I can keep the core temperatures under ~55c and the CPUTIN under 70c, how should it fare? Obviously this is "at your own risk," I don't intend to hold anybody liable for their suggestions. I've never dealt with this chip so I'd like to know how far I can push it.