I re-tagged your post with DNA so the project people will get this post in their feed.
I Googled Brossard DNA Project and came up with the Brossard DNA Project
Look through the names especially the MDA (most distant ancestors) and see if you can find someone who shares your lineage. That would be where I would start.
Be interesting to do some searching for him in specific. Also, sdd his profile to WikiTree so that others may find a connection to him and possibly a connection to you.
Hope this helps!