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Actually, if you think about it logically, that's what needs to be done, just like in chess and checkers with a chess clock. For example, if 141 turns have passed, add an hour to each player's time; that would be ideal. With the current structure of the chess clock, there's hardly any time left (I always have 2), let's say even 3, and you're playing with 8 minutes. Under these conditions, it's even more advantageous to play with a standard timer because not everyone can manage their units in 1 minute during a battle. And if you're also using demons... then it will take even longer, because if you click randomly, you can mess things up.
Therefore, adding +1 hour for 141 turns seems like the ideal option.

Dima Syurmey's idea of limiting the maximum battle time is interesting. You need to defeat a horde of golems, and it definitely won't be possible to do it in a minute or a minute and a half. So, the limit would be, say, 4 minutes, even if the battle lasts 10 minutes. Otherwise, one such battle will ruin the entire chess timer.
The arguments about unrealistic battles with golems/zombies are the most annoying. It's as if this is a huge problem that requires 30 minutes. In the early stages, there might be a couple of unpleasant battles that take, at most, 5-7 minutes. Is that really so much? What's better: an unlimited battle with golems and a comfortable game in the late stage?

If Heroes of Might and Magic 3 is a real-time shooter, then it definitely needs to be sped up. But if it's an intellectual game (like chess), then whether it should be reduced to a shooter that relies on dexterity is a big question. There's already a lot of technical work involved, and dexterity is needed anyway.
Dima Surmey's idea of limiting the maximum battle time is interesting. If you need to defeat a horde of golems, it definitely won't take a minute or a minute and a half. So, there could be a 4-minute limit, even if the battle lasts 10 minutes. Otherwise, one such battle will ruin the entire chess timer.
I think it's necessary to have 2-3 pauses in the game, no more than 2 minutes each (phone call, difficult battle, child crying, etc.).