I can tell you the brand names of what I purchased and maybe that will help? One thing I will mention, just so you know, is everything I purchased is a different size. I had to try everything on because each brand/store fit so differently. If at all possible, I would recommend finding at least a couple in person that you really like and then buying those online.
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Anyway, the bralettes at JCP were Barely There brand and you might really like those because they are very similar to exercise bras in some ways. I got a medium for slightly more support and a large for slightly less support since I was technically between the two sizes, although "support" is an odd word to come to mind because these don't have SUPPORT like us bra-wearers are used to. It is very subtle. The 100% cotton camisoles from Target are Circo brand. I fit into Girls size 14-16. Then, Styles For Less had two different types and they ran small. I needed size large there and an XL might have been okay, but they didn't have any. (All over the map, size-wise, which is kind of crazy!)
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Old Navy had a bunch of pretty colored camisoles, but I was specifically looking for skin tones so I didn't even try them on. I have purchased camisoles through Chadwicks of Boston in the past and in person at J.Jill. J.Jill runs big and Chadwicks tends to run a bit small, IME. I don't have any now, but I think they had shelf bras inside. I wear S and XS at J.Jill and at Chadwicks I am between Medium and Large.
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I hope that helps a little....