This is what the stuff looked like when filtered ...

Still very wet. Anyhow I tried heating a small sample and all that seemed to happen was bio/water ran out. The solid reduced in volume and appeared to go a bit sticky, but by this time it was well over 32°C.
I tried wringing out a small sample, making a little "swag bag" like the salt you used to get in crisps. This removed a bit more liquid ...

I'll leave this in a warm place to see if I can dry it any more.
It may also be worth washing a sample in methanol to see if that will get rid of the bio.
So not really any further forward, it looks like it's probably not sodium sulfate.