“ The only way to figure out an optimal binwidth is to try out multiple values!”

This is just empirically not true — and dangerously bad math. Mis-binning, whether in terms of the number of bins or their width, can create the illusion of normal distribution. Check this out for the way to calculate bin width/count! https://medium.com/analytics-vidhya/data-scientists-stop-randomly-binning-histograms-1069d7380c3a