Depends which surface you prefer on your photos. If you really want to have something valuable in your hands, nothing goes over Hahnemühle baryta paper if we are talking about Inkjet (print from digital). The texture and contrast you can achieve with this material is unreachable. But if you don’t want to spend that amount of money on paper consider checking TECCO paper. I took part at a photo competition where LEICA was involved. The madame of LEICA judging our photo prints first thought I was using Hahnemühle baryta paper but it actually was TECCO. So…. I think you definitely can consider both as high quality printing papers.
Otherwise baryta paper as darkroom prints is really a personal preference if you re printing yourself. Every paper has its own characteristics. For me I really love matt paper too so I print my final prints on FOMABROM Variant III in its mattest version. In German it is called Totmatt, matt like the dead 😉 So you don’t have any reflection whatsoever. But this really depends on the photo itself. Sometimes the glossiest paper on the planet fits the best.
P.S. This photo was printed on Hahnemühle Photo Rag Baryta. https://www.instagram.com/p/BSlLGVpFCb9/ I really never regret choosing it.