I don't know about shuttles, but don't pay for a cab. Lambert Airport is on the north side of town, while the park is way out on the southwest. It's gotta be at least 30 miles one way.
My author website: mgrantroberts.com
It is your cheapest and most efficient option, by far.
Having lived in St. Louis for a great long while, I can think only one other affordable alternative.
SFSTL is barely still in St. Louis County, and thus, it is served by Bi-State (our transportation entity).
The "Eureka Express" will get you very close to Six Flags, to one of the so called "Park-Ride" lots. But you'll have to go the extra 1-2 miles on your own. Here's a map of all the bus routes:
Stay at the Holiday Inn Six Flags St Louis and they have a free shuttle. Parking is like $15!
It was $10 in 06', which I found odd considering that most of the other parks were charging $15.
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