I haven't come across a paper that is identical on both sides - which in regular paper manufacturing seems virtually impossible to achieve in the first place. However, identical may not be your requirement. Still, when trying both sides of papers with alt processes such as salt prints, the differences in overall look and contrast between two sides of the same paper are always quite obvious to me.
For salt prints, my favorite paper so far is Schut Simili Japon 225gsm, which seems to come lose to what you're looking for. However, one side is noticably smoother (hot pressed or calandered?) than the other, although both sides can be made to work for salt printing. It's also available in 130gsm, but I've only tried the heavier kind. So far, it's been my go-to paper for alt. processes as I get good dmax, evenness and smooth tonal ranges with it, it's easily available where I live and it's very affordable.