Mine is 16GB, so that's probably not it... I've uploaded ver 1.03, which at least fixes crashes during loading save file and some NPC schedule error causes random crashes too (every error results in random crashes which makes it really hard to pinpoint 0_0). Hopefully it reduces the frequency of your crashes X"D
If you can, when you re-test, could you run the game through command line so that it pops up the complete debug log?
Type cmd on the explorer bar like this, press ENTER, it should popup a black box
Then type "start BaradiseEscapeWindows1.03.exe" or "start BaradiseEscapeWindowsDemo1.03.exe" (without the quotation marks) depending on the version you're playing.
There should be many scary lines popping up there, but it's the complete log of what's happening back-end. Hopefully during the crashes, there will be better hints to be found there.