I have Heroes 3.58f without the HD mod on Windows 8, and it kept crashing (both during my turn and during the computer's turn).
I was looking for a solution and found your HD mod 3.807f. I was immediately pleased that the game became widescreen, the graphics improved, and there were no more crashes during my turn. However, errors appear during the opponent's turn, rarely at the beginning of the game, but more and more often later on. The only solution is to use autosaves and do something else before the turn transitions.
Of course, I suspect that the errors may not be related to the HD mod, as I had bugs even without the mod.
The log is attached:
PS If the problem is not in the mod (I downloaded Heroes 3 times from different sources), what do you advise?
PS2 I will try HD mod 3.808f now and will report the results.