The core idea is really good. I love some roguelike/1-of-3 mechanics.
A bit more choice and control as a player would really give this game a hook, so I could have more influence over the game state. Special dice, improving/changing/upgrading the tiles on the board, stuff like that to really make it feel like I have an influence over things.
We also made a roguelike, so if you'd like some more of that kind of game please give it try. Would love to hear your feedback!