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In my opinion, in Heroes of Might and Magic I, you can always find a place where no one will attack. But in Heroes of Might and Magic III, I couldn't do it on my first try. On the first day, three enemies attacked me in a row. On the second day, I ran out of mana, and on the third day, my army was gone. I had to start over. The second time, they didn't bother me.
The main thing in this mission is to clear the arena. The rest is up to chance. On my hero, I mainly cleared slow units with just Furies. In the first week, you need to reach the dwelling of the Scouts. Archers are always useful.
Experience isn't that important. In the next mission, there's plenty of it.