There's never usually any implied washing after sleeping. You just become clean after long resting.
Well, I know that as a mechanic!
But the RP implies you took a bath. How else did you get clean? They even give you sponges and soap bars you can wash the blood off after a fight! You eat, you bathe, you visit the bushes, you have a sleep, do it with Lae'zel or Shadowheart, it's all good man!
