I have always hated bath mats. Especially being in a fairly large family, by early afternoon it seems like the bath mat is always saturated and useless; slipping around the floor if you're trying to use it to dry your feet, or soaking your socks if you happen to step on it in the course of other bathroom business.
I recently got a bath stone made of diatomaceous earth and it has erased all of the annoyance. It pulls the water right off you so I always feel safe stepping onto my tile floor after just a few steps on the bath stone, and it dries freakishly fast, like basically in front of your eyes.
I've only had it a month so I don't know how durable it is over the long term, but so far it has been $40 well spent.
I've never understood why more people don't dry themselves in the shower, and dry their feet on the way out. Why use the bath mat as a special communal foot sole towel? It's much nicer when it's just a comfortable dry mat for standing on with bare feet.
It came up in a work lunchtime conversation and there were two of us out of a dozen who do it, and most people thought we were weird and bathmats were supposed to be cold wet rags.