nah, silk is fine, really. Ok, don't tell anyone I said this, but you can pretty much treat silk-blends as you would any other wrap. They don't really need babying. Depending on the weave, they can sometimes be a bit more prone to pulls, but otherwise fine.
Anyway, bamboo is lovely. the elville paisleys are lovely. Nati also does quite a few bamboo blends. some of them are quite thick, so may not see you into summer. but that would just mean you have to buy more...