I have a badly broken front tooth and no dental insurance. What do you recommend?

no way to advise you without a picture and an x-ray, but I would say this:  if you broke a tooth and don't have insurance, then get to a dentist and just pay for it.  I can promise you that if something is wrong it will only become more expensive and difficult to fix as time passes. 

It's impossible to answer your question without a picture. I would say that if finances are an issue I would contact the University of Texas Dental School in Houston. They offer care at a reduced rate in return for allowing students to work on you as a patient. They may have an emergency clinic or be able to put you in touch with one.