Disclaimer: I love Canson Infinity Baryta Photographique; it's my primary paper for B&W imagery and for this purpose, I use it instead of Epson EF.
Now that we've gotten that out of the way, I'm not sure it's the paper for *you*. It has excellent, rich, deep blacks, and seems to have a great sense of making images come alive in the upper shadows and lower midtones , but it's whites are not as "white" as those of EEF. EEF is a very, very "bright" paper, and if you're looking for something with very bright whites that tend towards the cool side, the Canson may not be your ticket as it's whites are just slightly to the warm side of neutral, and while still pretty bright, nowhere as piercing as those of EEF. I don't really know if I have any alternate suggestions for you though. It might be worth trying a small pack of the Canson just to see what you feel about it though - it is a very nice paper, but like all papers, it has a personality.
As for OBA, I may be misunderstood, but I thought the Canson paper does contain minor traces of OBA. You might have to go to something like their Platine Fiber Rag paper to find a brighter white paper in their lineup that is totally OBA free.
I personally don't have any problems with EEF in museum glass from my framing shop, but I don't know what type she uses - I've framed several 16x20 color prints on this paper and a few B&W, so I can't say I've experienced what you have.
Good luck and it will be interesting to see what other people suggest for you...