You can bring whatever your heart desires! This operation is run by a nice ol lady who is very friendly and doesnt nose around your stuff. Have fun, the river is ussually pretty slow so be ready to paddle.
Yes you should be able to bring food, and I do believe there is a place to eat. I would suggest that you paddle up a ways and find a spot.
Yes you are allowed to bring food. I dont know about setting up a picnic
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