I have FEAR at version 1.06 and am using the 1.04 no-cd patch and I run WinXPx64 as well. I startup FEAR using the "configuration utility" and the "launch FEAR" button. I run the game at 1024x768 so I dont have a problem, I dunno if you wanted to run it at a higher res.
Anyways, I get the same problem with the crashes and the quick save. I think there is a small memory leak with the no-cd patch or something becasue it is a bug with x64 Whenever it happens to me(I quicksave at a constant in that game becasue I played it on the hardest difficulty) I jsut restart my machine and start playign where I left off. I have to replay the area since my last quicksave, but that was usually only a small battle of some kind. It helps to run FEAR after a reboot and to not have any extraneous stuff in the background like quicklaunchers or chat programs becasue they use memory.
Hope i helped