Hello vtoulson.
If you would like to completely uninstall the software you currently have on your computer, then follow this HP document Uninstalling the Printer Software From Your Control Panel.
Next, clean your Temp folder. Some files from downloading thie software get stored in this folder. I will provide a YouTube video on performing this step here.
Now, install the full feature software from the HP website here. Make sure you choose your correct operating system; either 32 bit or 64 bit.
Follow the on screen instructions when downloading this software to successfully connect over a wireless network.
Please let me know if I have addressed your concerns.