Now you're talking about a major pet peeve of mine. When there aren't towels ready within reach of a sink (especially one that's specifically intended for washing hands). What's wrong with people? Is this some kind of rocket science?
In kitchens, they don't have a usual, convenient place for towels. I hang mine in my stove handle, but that's not directly near the sink. I asked my kitchen guy and numerous others, but no one seems to have come up with something workable.
Also garbage paid cabinets don't seem to be a kitchen designer priority. What are they thinking?!