Balance in the online game on a random map. Auto-translated

I'm playing online with a friend in Heroes 3 Complete Collection on a random XL map, but there's often a poor balance. For example, I have: 4 water mills, 3 regular mills, an elven dwelling, a unicorn dwelling, a dendroid dwelling, and a dragon dwelling at my castle. She only has a dwarven dwelling. I'd like to play under equal conditions. The Jebus Cross template isn't interesting because everything is too accessible there, but even there, there are failures, with 2 native castles for one of the players, etc. Maybe there are some maps or other manipulations that would allow us to rely more on our own skills rather than on random chance.

https://h3hota.com/ru/rules - here you can find a list of templates (and their rules), choose one that suits your taste. Personally, I like the Mini-Nostalgia template the most - it has a clear structure, it's not too rich, but not too poor either, and the presence of computer opponents adds extra interest and forces you to plan the game much more deeply (not only based on what you see on the map, but also by correctly choosing the factions of neighboring castles, reacting to the opponent's choices). The balance is generally present, although in Heroes it is not optimal by default. But such situations, as you described, occur very rarely.