I am not sure if it will be useful, but during the last weekend I have been playing with media type selection for some cotton based papers.
I have 3880 and used Epson driver mostly on Solution Radiant White 270 (as far as I know, it is rebranded HM cotton paper). It is not textured but it is also not smooth. I have tested Color Munki first page print options as Ultra Smooth Fine Ar, Velvet Fine Art, Watercolor Radiant..., Enhanced Matte and Archival Matte.
Finaly, after visual inspection I have selected Watercolor option. It didn't have overinking symptoms, like VFA or a bit EMP/AMP. USFA also seemd quite ok, but Watercolor pathes were the most smooth. I have to measure them as well. Hope this helps.