Finding most remote spot in Eastern United States?

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I have this hunch that I could travel no more than 50 miles from the most remote spot in the Eastern United States (east of the Mississippi River), in the direction of the nearest road, and find a road.


Definitions:
Most Remote: Spot furthest from a road.
Road: Google Maps definition of a road.

How could I prove or disprove this claim (i.e where is the most remote spot in the Eastern US)?



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