I read that at least one person fixed the crashing problem by reinstalling and choosing "phone" rather than "tablet". This didn't work for me. However, I did find a fix that did resolve the problem.
I noticed that Elder Sign: Omens automatically installed to the SD card. So, I unmounted and removed the SD card, then uninstalled and reinstalled the game, forcing it to install to the main memory of my device. I also chose "phone" rather than "tablet", just in case. After that, the game worked perfectly. I even won a game for the first time, which was a nice plus. (I'm using a Samsung Galaxy Player 5.0 FWIW)