Hi Arlene, I’m pretty happy with these Land End’s ones with rubber backing but I’ve only had a month so I can’t speak to how it holds up in wash. It isn’t super think so it dries quicker: https://www.landsend.com/products/supima-non-skid-rugs/id_225488?sku_0=::598
Also really happy with their all cotton alternative which is plusher and good value for the money: https://www.landsend.com/products/essential-cotton-reversible-rug/id_212982_-2