You would be able to get a stroller close enough to look at the creek, but probably not close enough to be right up to it. In most places there is a drop off to the water.
Some of the areas that you can get near enough to the creek to at least see it can be quite muddy. Due to so many beautiful trees along the paths the sun is not able to completely dry them. Also, I would definitely apply bug repellent regardless of what time of day.
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