I would consider an ambulance, except for the cost, and I am unsure if they would transport my daughter as well,
jenn, perhaps you could call them, explain your situation, determine the cost and find out if they will transport your daughter with you.
i feel uncomfortable that there is no plan yet. for your own peace of mind and safety, please make a few phone calls.
another idea that came to me is that you explain the transportation issue to your doctor, privately, when you see him regarding the induction. i would imagine he could pull a few strings regarding the ambulance. if your husband is accompanying you, you could merely ask your doctor if you could have a moment in private about "woman things"...that normally sends men running...
you take care now,
naive