In today's modern age, we are spoiled as baseball fans when it comes to listening to radio broadcasts. As I compose this story, I am listening to the a radio broadcast of the Tigers and Braves playing a game about 30 miles from my house. Ten years ago, it would have been very tough to find any radio broadcast for spring training. Satellite or streaming radio does spoil us as fans today, but the terrestrial radio market is still alive. In fact, some odd outposts of North America are broadcasting radio games all throughout the baseball season. 

In terms of team affiliates, fans may remember the days when the Pittsburgh Pirates had a Triple-A affiliate in Honolulu, Hawaii. As the crow flies, that is a distance of 4,460 miles. Believe it or not, that is nearly matched by a current radio affiliate of the New York Yankees, 1080 KUDU AM in Anchorage, Alaska. Bronx, New York and Anchorage are 4,367 miles apart from one another. 

The image below (click to expand) shows the distance, in miles, between each team and its most distant radio affiliate, as well as the city where that affiliate is located. All affiliate data sources can be viewed here.



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The Rockies will be heard in Great Falls, MT again this year, so add some miles to the chart!
It would be interesting to see if there are any stories behind how these affiliates came to be associated with the team.

For a long time, the Orioles TV broadcasts were on Home Team Sports (HTS) which broadcast into the Carolinas. I assume that the coverage into the Carolinas from HTS is potentially the reason for the NC affiliate (and that B'more is the southernmost AL team on the East Coast).
Doesn't St. Petersburg, FL count as being on the East Coast? I' m pretty sure it does.
I assume that the Yankees have a team in Anchorage so that they can threaten to send stubborn, uncooperative players there.
Interesting Info -
A minor point though, the White Sox affiliate is in Evansville, Indiana, not North Carolina.