This is exactly me -- ~2TB of 3TB storage full, similar content to you. The difference is that I store all that stuff on a RAIDed NAS device and stream it over wifi when I need it.

I don't back it up, but it is RAIDed with 1-disk fault tolerance, and that's pretty much good enough for me. I mostly only ever add new content to the NAS or read existing ones, so I'm not worried about versioning.

Best of both worlds imo.