Wool is the way to go.
It doesn't make a whole lot of sense to wear a merino base layer, then throw on a less-than-breathable bra, so keep the goodness of wool close with Ortovox's 185 Merino Rock'N'Wool Women's Sports Bra. Made with a combination of merino wool and polyester blend mesh panels, the Rock'N'Wool offers cool, comfortable, and breathable support whether you're climbing, hiking, or trail running.
Merino wool
Merino mesh panels
Natural anti-odor properties
UPF 40+ sun protection
Item #ORT003B
Material: [body] 100% merino wool, [mesh] 28% merino wool, 72% polyester
Support: medium
UPF Rating: 40+
Anti-Odor: yes, natural attribute of merino wool
Claimed Weight: 2.3 oz
Recommended Use: hiking, climbing
Manufacturer Warranty: 2 years