I found it was actually relatively easy to get the GOG version to work using Wineskin.
Just download the installation file directly from the GOG website (not using the galaxy client) and install Wineskin Winery. Then create a new "wineskin" using the latest engine. When you run the skin it should pop up a menu with the option to install a program. Choose that option and then from the pop up menu direct it to the KODP installation file. It shouldnt have any problems installing the game from there.
The only part that I found kind of tricky was getting it to run the game later, after this initial installation session. I'm pretty new to using this emulation software, so there may be a very simple option that I'm overlooking, but here's how I managed to do it. Just go to where you have the wineskin saved in finder, then choose "show package contents." Then go to the "drive_c" folder, then "GOG Games" then "King of Dragon Pass" and then the "KoDP.exe" file. Right click on that file, and choose "open with." From that menu, choose the wineskin that you previously made. You can set this to open using that program by default to make it easier later.
If you have any problems with any of this, feel free to ask or message me on here. It really is a great game if you're at all into this type of strategy game, so it's totally worth the minor inconvenience of having to use this.