I have been running a fine art print shop for 4 years now, always trying new papers when they arrive on the market, but in the end I always stick to Epson and Hahnemuehle. The Innova, Harmann and ilford (baryta) papers look beautiful but they are just too delicate and that means to many reprints. So my list of paper is as follows:
-Epson premium luster --> Excellent paper. When matted and behind glass, who cares about paper feel. just looks great.
-Epson premium glossy --> for all prints that are mounted behind plexiglass, because of not having any obvious surface texture, so no air bubbles
-Hahnemuehle PhotoRag --> a classic beautiful paper, probably still the most popular paper in our studioł
-Hahnemuehle PhotoRag Baryta --> After we started printing on this paper we've got rid of Fine Art Baryta (just for some clients who prefer the black on Fine Art Baryta --> a little darker and less warm)
-Hahnemuehle Bamboo --> A paper we like, but not use that much. Black and white images in shadow areas are better then PhotoRag, but still most clients prefer PhotoRag. For color images Bamboo is a bit too warm.
And that is about it. Most important is that I stick to a paper I like and get used to its properties. Know where it shines, but most of all, know the limits.
Softproofing is important and so is a good monitor, but more important is to know your output. You can buy the most expensive Eizo, but if you change paper all the time, I can assure you that you're better off with a calibrated imac and get used to a paper and learn to know how it behaves on your images.