I finally found a mesh sport bra that does dry fairly well, but it's a swedish brand I think, Swegmark. (? or something like that, ripped the label off first thing). I don't wear bras hiking though, except maybe just a single layer microfiber top. The perks of having a AA-bust...

I like Craft, I wear Bavac which is very similar. I prefer very thin turtlenecks with a zipper, cover a lot but still versatile.