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In a fit of panic, I did an Amazon search for "unlined bra" and purchased 3 completely different items to try out--and hopefully find something that will lovingly cradle my ta-tas. The first arrival was the American Apparel Nylon Spandex Micro-Mesh Triangle Cross-Back Bra. There's no underwire, no cups, and no adjustment or hook hardware. The available sizes are Small, Medium and Large.
AA did a great job in creating a cheap, and uncomplicated bra. I normally wear a size 12 dress and a 36B, so my choice to pick the medium was just an experiment--but the customer reviews led me to believe that this was the right choice. This completely see through garment offers a little support and maximum comfort. Their pull-over the head construction may mean that I'll end up wearing out the band elastic before I want, but I'll cross that bridge when I get to it.
AA gets 4 out of 5 stars for being a great, comfy weekend bra. I don't think I'd wear it in a professional setting, tho. I hope the next two arrivals give me what I'm looking for.