How to create buffer on one side of a stream in ArcGIS?

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I need to create a buffer around waterfront park sites. But I only want "half" of the buffer --- the "half" that coincides with the side of the water body where to park is.

In addition, the buffer of one park may overlap another due to their proximity. I would like to have just one "half" buffer for each park.

I tried to buffer the parks, union them with waterbody, erase waterbody, select by location the buffer using the parks. But since the buffers overlap, they create multipart features and only one or two parts of the buffer are selected.

Below is example of what I am talking about.

For the park (green) on the left I would like a half buffer to the north (assuming north is up) and no buffer south of the waterbody.

For the parks on the right (one big and one small) I would like two separate buffers that are each single part features.

ps these are both polygon vector files and I have an advanced license



EDIT:mad:ChrisW s method:




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