Well, without Napoleon, Lousiana and New Orleans would most likely remain Spanish for some time. Spain's declining around this time, so perhaps the Spaniards sell New Orleans to a growing United States.
The other option regarding Louisiana would be to wait for the Spanish Empire to fall around 1820. A la Texas, Americans would continuously journey to the capital of Louisiana in a filibuster attempt, but take some time for a revolution to actually erupt. Say perhaps in the early 1830s, Louisiana goes into full revolution, a pro-American government takes power and Louisiana enters the Union.
Of course, I doubt they'd split the entire country into thirteen states to begin with, so Louisiana would be one enormous state. This would bring into question whether or not it should exist as a slave/free state. Perhaps splitting it into a North Louisiana (capital in St. Louis?) and a South Louisiana.