You can use TaxSetup.exe /? to get a list of supported command line switches. However, the switches you are looking for aren't documented there.

I'm not sure where I found these, but "/autoinstall" and "/autoexit" work to make the install unattended. The GUI does appear if running as the logged in user. However, if you run as another user (such as an administrator) you can hide the installation from the user entirely.

Personally I wasn't able to get PDQ to deploy it properly, at least with the free version which copies the installer to the local machine (which I suspect is the problem) - if you have the paid version of PDQ Deploy, you can do a "pull" install, which might work. If you're able to get it working using PDQ Deploy, let me know!

Instead, I use PowerShell and PSRemoting/WinRM to install Lacerte remotely. This forum is blocking me from pasting a code snippet, so if you want an example just let me know.