Greetings,
I'm guessing you want MicroATX when you say you want it to be a small case. With that in mind, here is what I picked out in that price range:
https://www.microcenter.com/site/content/custom-pc-builder.aspx?load=cfc7e0df-db19-4d28-a15a-579d7da1d8fe
You could substitute the 5600 non-X CPU and have enough $$ in the 1500 budget to fit a 240mm AIO cooler which that case supports.
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