I have had a paid internship in the field for the past year and a half. Of course, I don't work on any speech related goals. However, I tutor children and teenagers in academic areas with ASD and strictly adhere to their IEP's (academic section). In addition, I run a social skills group for three teenagers (high-functioning Autism). The pay is the only negative aspect about the internship. I am gaining a plethora of experience and it has really aided in boosting my application.
So, what I am trying to say is that there are some paid internships out there. A year and half ago I was calling places around my area for volunteer opportunities and it turned out that one of the companies had a part time paid position available. Search, search, search because they are out there.