In Here's the Election Map President Trump Should Hang in the West Wing Chris Wilson provides us with an alternate map.
A simpler way is just to place a dot over each county that is proportional in area to the number of votes that the winner received, like so:Here's a screen shot of the map:
Note, please visit the above site to see the full interactive map. It allows you to move the mouse over a dot to see the tally. Have a read of Wilson's article while you're there. He explains things much better than I do.