I have *ahem* a 'couple' of natibaby wraps. I love the designs and the way they wrap, but they are all very much on the thicker side of the wrap world. I have linen/cotton, Bamboo/cotton, silk/cotton and plain cotton. My bamboo /cotton is by fare the thinnest. One of my silks is reasonably thin, but the other silk is very thick - thickest of my natibaby wraps.

For summer, DM is probably the lightest. Coolest, yet most supportive ETF wrap - but they are a bit on the $$$ side.
Otherwise my 100% cotton Indio or my labyrinth are my go to hot weather wraps.

Oscha julliet ladybugs would be a good thin supportive wrap for summer (but mine hasn't even been worn yet as it is a size 7 - way to long for the hot weather IMO).