One of the great resources here at Penn State is Qualtrics. Qualtrics is a robust, third-party surveying tool. Qualtrics is unparalleled in the number of features it offers. If you can’t do it in Qualtrics, I don’t think there’s another freely available tool here at Penn State that could do what you’re looking for.
I just recorded a relatively short screencast video on how to publish and activate a new survey. Please let me know if you have any questions or feedback on the process.