Growing up my family lived in a small bungalow. There were 5 of us and one bathroom. It seemed to work. We had a bath tub. Yup just a tub, no shower.
Did you ever live in a house without a shower?
Could you live in a house without a shower?
Personally I love a bath and I can't imagine buying a house without a tub. I think that would be a deal breaker.