Looking for a runner mat/rug for the front of my sink

I hope this is the right place to ask. I'm looking for something that won't slip on Spanish tiles and doesn't accumulate so much dirt. Right now I have two rugs with non-slip stick-ons underneath, but that's not cutting it. They still slip everywhere and get so dirty. I have a stone bath mat for stepping out of the shower, which is great. But I want something that's easier to clean for the sink area. The area itself is 4-5 feet long.