If your scanner supports scanning to a network share, install Samba on your Pi and share the paperless-ngx incoming directory. My ScanSnap iX1600 supports this, but I’m not familiar with other models. I had to configure the scanner using the Windows app to add the SMB details, but once it’s configured, it works without a computer attached.
Paperless-ngx also supports email. You can set up a separate email account for it, then forward it any documents you want to keep to it.
For documents you need to keep a physical copy of, use ASNs (archive serial numbers) to correlate the physical and virtual copy. You can use QR code stickers to automatically set the ASN in paperless-ngx. I posted a nested comment with more details about this.
Consider using paperless-ai to use an LLM to tag and title your scanned documents automatically. It needs a webhook to be configured. Consider a local model if possible, and if you want to use a hosted model, review the provider’s privacy policy to ensure they do NOT train the AI on user content.

This is OK as long as you consistently use the QR codes to assign ASNs.