Unfortunately 37 didn't fix my problems at all, it seems to be doing exactly the same: If menu overhaul is ticked, the game crashes when the new game screen should show up. If it is unticked, then the game crashes after winning the first battle, so I suppose something else also needs to be unticked.
As far as I can tell I have followed the instructions for installation exactly, and I have already tried changing the compatibility settings and config settings, so I just don't know what else to do.
Additionally, though it probably won't help, in the crash.dmp it does say "The thread tried to read from or write to a virtual address for which it does not have the appropriate access" for ff7.exe.