If sizing is an issue, using a ratio slider, then perhaps try this method instead: Hex-tile maps help eliminate the Alaska effect
Which also addresses your concern about capturing all data points; and, it also addresses the Alaska effect which is that Alaska is larger in territory than any other in the U.S. and therefore would skew the end result (if using ratios for sizing).
Personally, I wouldn't use this type of map (either with a ratio or without ratio sizing) to be anything but "representative" of geographic points and measure values. I would definitely place some type of written disclaimer that size is not representative of geography.
Hope that helps! Thx, Don