(There's no meaning to this data - it's just an example.)
The author of the R statebins package made a short walkthrough last year about how to make a hexagonal version. It requires some geometry and geography-specific packages - I ran into some configuration issues with those and couldn't replicate the results - but the provided results look nice. (Potentially related: a hexagonal heatmap.)
rGridMap assumes that the fill variable is categorical rather than continuous.
The overall idea of statebins probably isn't palatable to everyone and I'd suspect that hexagons only exacerbate the issue. The hex approach looks fun, though.
*Bucking the trend of "RPackageName" or "rpackagename".