I ran into the same issue (except for me it occured earlier in chapter 4 and with resource 22800 instead), and I found a solution that's working so far, although it's rather tedious.
Basically the game fails to load a certain graphic resource, so you need to make it load the resources from a CD (or an ISO) rather than from the BIA folder.
First download the .msi file from this site (don't install it yet) : http://www.squirtthecat.com/games/betrayal_in_antara/index.html
Then you'll need an ISO of the three game CDs. I found mine through a Torrent, but I doubt it's legal to post a link here.
Mount CD 2 with Daemon Tools or similar, then launch the .msi file to install a 'patched' version of BIA that works with XP / Vista / 7. (I guess it's close to GoG's version, except it loads the stuff from the CDs)
When prompted for the CD drive, make sure to pick the one that's being used by Daemon Tools.
Now find the RESOURCE.WIN file in the BIA folder you just installed, open it with Wordpad, and replace everything with this :
title=Betrayal in Antara
Launch the game (it shows up as Sierra / Betrayal in Antara in the shortcut menu) and you should no longer have the crash. You'll have to mount a different CD at different parts of the game, just use Alt + Tab to change the mounted image when prompted.
Hope this works for you. I spent a few hours trying to figure it out, so I'm not 100% sure those steps are correct. Tell me if you run into another problem.
Has anyone actually tried this? It sounds like it just installs a version off the CD and runs that instead, which kind of defeats the point of getting the GOG version at all.