Reddit mentions of An Indian Winter

I used to be a guide at the Canadian Museum of Civilization, so I can give you some basic info on the fur trade if you'd like. I checked the Museum's website for books, but it seems they don't have anything approaching the full catelogue available in the online boutique and you're probably not up for a trip here just to browse books.

Unfortunately, I don't have any particular titles that deal with Louisiana, but I can give you possible avenues for research. Torger083 already mentioned les coureurs des bois, but you should also look into the Voyageurs and the Companie des Cent Associés. Basically, the Voyageurs worked legally with the trading companies and the Coureurs des bois were basically freelancing (both groups often started families with First Nations women, leading to the eventual creation of the Métis nation). The Companie des Cent Associés was the main trading company for New France and the principle rival to the Hudson's Bay Company.

Another area to look into, of course, would be the Acadian settlers and 'la grande dérangement'--the expulsion from Nova Scotia. Many of these refugees made their way to Louisiana and became the ancestors of the Cajuns.

Indian Winter is a children's book that looks at the fur trade. It's more than a little politically incorrect by contemporary standards, but nontheless quite informative.

There's also a bit of information in First Nations--Firsthand. It's a pretty inclusive book, covering everything from first contact to modern day across North America, but necessarily skims the topics. It's also pretty euro-centric as I recall.