@Michael Hurley, Thanks for posting in Q&A. From your description, it seems the installation needs admin permission. But when it run as admin it can't find the PDM server and hang on asking for user credential. If so, it means the command you tried can't silently install the application.
In Fact, to deploy the app via Intune win32, the app needs to support silent install. For silent install, this is designed by app developer. You can contact Solidwork support to confirm if it supports to install silently and get the silent install command. After that, we can consider deploying via Intune.
Hope the above information can help.
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