This scenario sounds like a mad dash for the attacker. You need to cover at least 30 inches of ground in potentially 4 rounds, which basically means you're just sprinting most of the game. And then you have to somehow fight your way through the enemy, who can almost immediately respawn anything you defeat and throw it back in front of you.
Also if I understand the nightmare zone correctly, if the attacker moves into it, they bleed points to their opponent, and since nobody can see anyone else, if the opponent just stands in front of them, they can't move past them, since you can't charge a unit you can't see?
It feels very difficult to actually win this scenario as the attacker, unless you have some kind of super fast army with teleport abilities.