Ok, I got it to work after going down the blind alley of trying to use Dependency Walker, Process Explore, and the Nvidia GeForce Experience utility. I had noticed that whenever I launched the game, of my 2 monitors it's always the one on the right which goes black. That one is actually #1, but is configured as #2 in windows (i.e. they're switched, I just did it through software rather than mess with the cables to get the left one to be #1 and the right one be #2).
Anyway, I temporarily put them back that way and launched the game. It still started on the right-side monitor, but it ran successfully, in fullscreen mode! I was able to go into the game, switch to Windowed, and exit. I put my monitors back the way I want them and now the game runs as it should.
Thanks Marine X for your suggestions!