Exiting LA 24 (W. Park Ave.) just north of Houma and taking it all the way up to 3185 is probably the most direct, but if you want less traffic and only one stoplight, stick it out till you get to 311, head north, and keep going straight till it runs into 3185
I would take the Hwy 308 exit at Raceland, then drive all the way up to Thibodaux. Once you get just north of Thibodaux, cross the bayou at 3185. Stay on that road till you get to SSC.
Some prefer Hwy 1 instead of 308. It's less curvy and there is a shoulder.