The parking lot is very close to the entrance, it would be easy to get the cooler after the ride.
I don't think coolers are allowed but drinks in a backpack are probably fine.
If they don't the train ride only lasts about 30 mins and they have a section by the train to leave your strollers and belongings.
I'm sure a small cooler with minimal snacks for kids will go unnoticed. I brought a back pack with a water bottle and Gatorade.
I take water and soda in a bag in...not sure about coolers
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