"What jobs in or around La Conner...?"
Agricultural.
There's basically no job market in that agricultural area. Try Everett to the south, Bellingham to the north, m a y b e Edmonds to the south of Everett.
There are a few regional businesses that HQ'd in towns such as Sedro Woolley, Burlington, Marysville, and so on. That can be a bit of a tight world of family and friends in such companies.
P.S. I Googled jobs la conner wa, and came up with pretty much nothing. Most interesting is this link
http://hotjobs.yahoo.com/jobs-l-La_Conner-WA
which indicates a couple of dozen jobs in "La Conner". They turn out to be in Mount Vernon, Burlington, etc....