My problem is you can't wash your hair in the bath. On the other hand IMO you can't properly was your feet in the shower. So what do you think. Bath or shower?
Shower all the way.
Granted that the bath water won't get too dirty, but the water is not going to be clean and you're trying to clean yourself in slightly dirty water. With a shower, you're using clean water all the time .... much better in my opinion.
The thought of washing my face in the same water that my arse has been sat in for a while, puts me off as well ........