Your an adult outside. You can bring cake anywhere. You literally dont have to ask. Just always remember the lorax speaks for the trees and if you litter he'll break your friggin knees.
There are pick nick tables around there. If none of those are available, there is a great bike path with large rocks and areas to sit. My husband and have sat off to the side for a snack. Very pretty! There are also benches along the way to the tour site which you can do for free.
There are little huts along the way too. That you could stop, sit and enjoy cake
There wasn't a place for us to eat at the flume but there is a picnic area about a mile up the road at the basin.
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