I would say the bath thing must be strep B, its the only reason I can think of that they would advise you against baths.
Would you consider reflexology or accupuncture - there are some labour/induction points that can be quite successful?
If you or they are worried about infection they may not want to do a S&S, or the EPO but is it worth ringing to ask? I wouldnt wait til tomorrow when you are in this much discomfort.