Start with night vision and expert equestrians.
Each morning, the french find a few dozen more horses and feed missing. It’s June, so there shold be grazing fields readily available.
With enough guards to ensure that nobody who sees the horses and their new owners lives long enough to tell the tale.
If possible, steal not only tack, but carts as well.
For the first 2 weeks, the French mobility is waning and yours is increasing. Just keep your existence secret.
Now, all the solders who came along as simple pack mules can start riding to secure food and water.
Can we go back and forth? If so, 200 guys do nothing but transport logistics from 21st to 17th centuries. We now have adequate food and water (and the occasional beer) to last 2 months.
We are now almost as mobile as the French - a whole bunch of their horses have switched sides.
When it comes time to attack, the first thing is to take out the top echelons - They won’t know what hit these guys - a modern .500 sniper bullet will produce a wound they have never seen.
Assuming their army is like every other army, rumors will spread, and the grunts will start thinking of home.
Now a dozen frag mortar rounds placed in the largest of the camp fires.
You now have an army afraid of its own shadow.
Now the heavy machine guns start chewing up tents at night.
About here is where they French decide to find out who is behind this (or, believing in God, they decide it is Divine Intervention and all run) and mount up (as best they can) and go looking.
Just make sure your well-emplaced machine gunners have at least 100,000 rounds which actually hit someone. However many rounds it take to get a single kill when firing into a mass such as a 1715 French army would present.
50 such emplacements should be able to cover the field. So: 2000 good rounds/however many barrels or other replaceables which would be needed to handle 2000 x whatever factor of misses-to-hits rounds.
