The Bureau of Labor Statistics lists the average dental hygienist salary in Louisiana at just over $60,000.The following is a list of average dental hygienist salaries in urban Louisiana: New Orleans - $60,000. Baton Rouge - $62,000.Slidell - $60,000.Shreveport - $51,000.he Bureau of Labor Statistics lists the average dental hygienist salary in Louisiana at just over $60,000.