HoMM3 HD is a mod (add-on) for the game Heroes of Might and Magic 3.

Here are some screenshots. But they really annoy me... Why not?

Come on, really. :p Here, the problems are immediately solved by suggesting map options. And I enjoy figuring out where to dig. For discussing the rules, visual aids are helpful. You could even suggest digging even after the first obelisk. On maps with AI opponents, the AI doesn't wait, and if it gets its hands on the Grail, it will dig until the very end. (By the way, there are also false digging spots, just like with players). And setting the Grail after the 5th week, or making it discussable (or allowing the Tower to dig earlier - before winter arrives :) or setting it earlier) could be options.