Stables are a possibility. I know there's more than one on the southern outskirts. The jobs are dirty, but you get to be around horses and horse people all day.
Next year, summer counselor at any number of groups might be able to be arranged. 16 year old girls are perfect for counselors for 5-10 year olds in "summer camp" so their parents don't have to watch them. You might want to look into YMCA/YWCAs now, you never know when one might need a fill-in.
Other than that, look into retail stores and other small outlet places, maybe movie theaters. Worked at a Marble Slab Creamery when I was 16, places like that shouldn't be too bad. I'd suggest blockbuster (used to hire people your age) but they're going out of business or so I heard.
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