The question isn't directly answered in the books or movies, but I see two possibilities.
Possibility 1: The Map Is Most Useful in Harry's Hands
What you have to remember is that the reason this whole battle is happening is because Harry has to look for the final Horcruxes hidden within Hogwarts before he can defeat Voldemort. The sequence of events leading up the Battle is basically:
Harry enters Hogwarts through a secret passage because he has to search for the Rowena Ravenclaw Horcrux.
Harry is caught by the Carrows who alert Voldemort to Harry's presence.
Dumbledore's army sends out word to the Order of the Phoenix that something is about to go down and Order members start streaming into the school in preparation.
Voldemort demands that the resistance give up Harry Potter by midnight or he will attack the school.
When they don't give him up, the battle is on.
The battle isn't primarily about gaining back control of Hogwarts, although some students might think it is. The battle is about buying Harry enough time to find the Horcrux and destroy it. If the Horcrux wasn't at Hogwarts, then Harry could just leave through the secret passage and hide from Voldemort the way he's done all year.
Harry's mission is more important than anything else that is going on. So if he can use the Map to help him accomplish this mission then that is at least arguably a better use for it than directing troop movements. And it is pretty easy to see that the Map might be useful in helping the most wanted wizard in Britain sneak around Hogwarts in the midst of a battle in order to find a hidden magical object. I don't know if Harry actually uses the Map during the Battle, but in theory I can see how it might help him.
All that being said, I think the second possibility is more likely:
Possibility 2: It Never Occurred to Harry To Use the Map In This Way
Harry Potter just isn't the kind of kid who thinks "Gee, I better take all the information I have and present it to the most qualified adults and also give them my cool, magical objects so they can handle Voldemort and the Death Eaters." Harry Potter is the kind of a kid who tries to do everything on his own -- sometimes with the help of Ron and Hermione, only reluctantly with the help of others. If he trusts an adult a lot -- like Dumbledore or Sirius -- then he might take some of his worries to them, but only after much deliberation. His instinct is to try to do things on his own. When he arrives at Hogwarts on the night of the battle, he's reluctant to even let Dumbledore's Army help him search for the diadem.
Harry isn't focused on how he can lead his army to victory during the battle. He's focused on finding and destroying the Horcruxes ... on the mission that he's been carrying out with the help of Ron and Hermione. In fact, the one time when he really almost gets distracted by things like troop movements, McGonagall quickly gets him back on task:
But he broke off as Kingsley had stepped forward on the raised platform to address those who had remained behind.
"We've only got half an half an hour until midnight, so we need to act fast. A battle plan has been agreed between the teachers of Hogwarts and the Order of the Phoenix. Professors Flitwick, Sprout and McGonagall are going to take groups of fighters up to the three highest towers - Ravenclaw, Astronomy, and Gryffindor - where they'll have good overview, excellent positions from which to work spells. Meanwhile Remus" - he indicated Lupin - "Arthur" - he pointed toward Mr. Weasley, sitting at the Gryffindor table - "and I will take groups into the grounds. We'll need somebody to organize defense of the entrances or the passageways into the school - "
"Sounds like a job for us." called Fred, indicating himself and George, and Kingsley nodded his approval.
"All right, leaders up here and we'll divide up the troops!"
"Potter," said Professor McGonagall, hurrying up to him, as students flooded the platform, jostling for position, receiving instructions, "Aren't you supposed to be looking for something?"
"What? Oh," said Harry, "oh yeah!"
He had almost forgotten about the Horcrux, almost forgotten that the battle was being fought so that he could search for it.
Both because of Harry's personality and because his focus during the battle is on this very important side mission, I just don't think that giving the map to a commanding wizard would have occurred to him. He probably would have given it up if someone else had suggested it and it had seemed like a good plan -- I just don't think he would have come up with the idea on his own. And not that many other people knew about the Map -- I think just Ron, Hermione, Fred, George, and Remus.