Update 7/3/2018:The solution to my problem is posted here.

Does anyone else have this problem or know of a solution?

I'm able to launch the game. When I select "new game" I'm able to proceed until I see a woman standing away from the camera on a bridge. At that moment the game closes. I've fiddled with settings, but the result is always the same.

desktop:~/GOG Games/Blackwell Legacy$ ./start.sh
Running Blackwell Legacy
AGS: Adventure Game Studio v3.3 Interpreter
Copyright (c) 1999-2011 Chris Jones and 2011-20xx others
ACI version 3.3.0.1132

AGS: ***** ENGINE STARTUP
AGS: Reading config file
AGS: Initializing allegro
AGS: Setting up window
AGS: Initializing game data
AGS: Initializing TTF renderer
AGS: Initializing mouse
AGS: Checking memory
AGS: Initializing speech vox
Speech sample file found and initialized.
AGS: Initializing audio vox
Audio vox found and initialized.
AGS: Initializing keyboard
AGS: Install timer
Checking sound inits.
AGS: Initialize sound drivers
AGS: Install exit handler
AGS: Initialize path finder library
AGS: Initialize gfx
AGS: Load game data
AGS: Blackwell Legacy v1.7
AGS: Checking for disk space
AGS: Initializing MOD/XM player
AGS: Initializing screen settings
AGS: Init gfx filters
AGS: Init gfx driver
AGS: Switching to graphics mode
AGS: Widescreen side borders: disabled in Setup
AGS: Attempt to switch gfx mode to 320 x 240 (32-bit)
AGS: Succeeded. Using gfx mode 320 x 240 (32-bit)
AGS: Preparing graphics mode screen
AGS: Screen resolution: 320 x 240; game resolution 320 x 200
AGS: Initializing colour conversion
AGS: Check for preload image
AGS: Initialize sprites
AGS: Set up screen
AGS: Initialize game settings
AGS: Prepare to start game
AGS: Checking replay status
AGS: Engine initialization complete
AGS: Starting game
AGS: Loading room 35
AGS: Room change requested to room 22
AGS: Unloading room 35
AGS: Loading room 22
AGS: Room change requested to room 3
AGS: Unloading room 22
AGS: Loading room 3
support/gog_com.shlib: line 94: 18786 Segmentation fault (core dumped) ./"${bin_64}"
desktop:~/GOG Games/Blackwell Legacy$

Games are not meant to be played on linux.