As I mentioned before, I don't have a problem with a basic one-piece swimsuit. I have seen an American suit or two advertised as a modest suit, but I did not like them, so I didn't mention them in my previous post on swimsuits; one of them looked like a knee-length wetsuit with a flowery skirt over it--not a look that would appeal to most American women, I think.
These probably aren't going to either, but I like them better than that American one:
They're pretty, happy-looking women; apparently no one ever told them you have to wear a string bikini to be attractive.
The LATimes article I took this photo from is worth skimming. It says that, thanks to the new Islamic bourgeoisie in Turkey, there's now designer headscarfs and liquor-free resorts, in addition to the really modest swimsuits. And those swimsuits are apparently more for sex-mixed groups; the article says women sometimes wear revealing suits when they're in women-only groups.