Okay, today, I reached first playable, at least for one level.
The way the game is structured, you will play through a single dungeon level with an objective. If you survive the level and complete the objective, you gain a level. When you level up five times, you win. I was able to play my first procedurally-generated level. Here are some photos of what the game looks like right now:
In the foreground, you can see my hero (the viking character) has come through a door into a crypt containing three zombies and two rat swarms. Along the back wall is a catacomb that the hero can search for treasure, and there's a passage leading west out of the room, assuming he survives the fight with the zombies and rats.
In the background, you can see the web page that told me how to set up the room. On the right is the map – showing what tiles to place where – and on the map are numeric icons showing where to place the enemies and other features like doors and the catacombs. On the left is the "legend" for the map, indicating what exactly should be placed at each location. Each item on the map also has an action button you click to interact with it. (For instance, for the rat swarms, the button says "Defeat", so when you defeat them, you click the button to see if that yields anything.)
I'm really liking how the game plays and looks on the table. It's very satisfying to move the minis around, and the dungeon levels are feeling like they are about the right level of challenge and length. I have a mechanism for injecting more content into the game, so over the coming days, I hope to flesh out the level generator with more options for throwing interesting situations at you.