As already answered, the MapCompare Tool will solve your Issue.
Here is a direct link for: USA / Michigan / center at GC5ZBN3 / show all including archived and disabled:
Just click on it and play around with the filter settings.
In europe we use the unit kilometer, I set it to 10 kilometers. Just use a miles radius you prefer for your specific area.
As Deepdiggingmole already mentioned there is a limit of 10000 caches, with the "radius filter" that could be solved.
Of course you can also use other filters like "don't show Earthcaches" or "only show Multi-Caches" to reduce number.
As the state is filtered, take a careful look on it, when you are near the boards of states (e.g. Indiana / Michigan / ...) => When state is selected, only that states' caches will be shown!
Of course you can select a center (like N 42° 02.400 W 084° 25.800) without a state selected:
Sorry for possible spelling- or grammatical-errors.