Welcome from Indiana. I commend you guys over there that manage to get out and bowhunt - some opportunities in France, but tough to find places compared to what we have here. My wife is French (from Altorf, small town near Strasbourg) and I've been trying to get onto Sanglier there for several years. Not only do I have to work thru the French regulations, but Alsace has some different laws than the rest of the country!
Beautiful area - chasing cerf in the Vosges would be a dream.
We keep a few of the European traditions alive here - we have a Teckel that we use to blood track animals - not very common in the US.
FWIW - to the American folks, cerf are the same as the red deer hunted in other parts of Europe, New Zealand, and South America. Chevreuil are roe deer, and are neat little critters - the does have delayed ova-implantation, as I understand, so the rut is in like May-June and the stags lose their antlers in the winter - opposite to whitetails. Sanglier are the true European wild hogs.
R