Rutgers used to be nearly fully funded. Not sure how things are going now.
Some other PsyDs I've stumbled upon that you can consider should you be interested in lower cost options: William Paterson (fully funded, research focus) and James Madison (fully funded + assistantships for everyone, it's a combined Clinical/School program though), UHCL (combined Clinical/School, super cheap tuition).
EDIT: Oops, my data on William Paterson is a few years outdated. They do still offer full tuition waiver + stipend if you get an assistantship, but it is unclear what % of students get an assistantship.
There are quite a few PsyD programs out there that turn out good practitioners but are not worth the money. I've worked with great folks from George Washington, IUP, Yeshiva, and Antioch (he was an outlier though).