PingWing
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My computer is a top-of-the-line cyber beast, it can handle anything, so it will definitely run Heroes 5. Just think about it, I've already completed 4 different campaigns. Yours, Andrey's, BlueHeaven's, and this one – and in each of them, I have some kind of terrible issue, something breaks here, something breaks there. And even on a completely clean version of Heroes 5, I still have some bugs. I'll try reinstalling Windows, maybe that will help.
I had a similar problem even after reinstalling the game. Try cleaning the profile on the C drive, removing saves and other files; sometimes this can cause crashes.
Data on the C drive remains even after deleting the game, and after reinstalling, it is immediately linked to the game.