Thank you for these very helpful responses and the various descriptions of your fit needs! It sounds like the overwhelming answer is that both of these are good options. The thing that is a bit of a disadvantage for me is that I am overseas, so the ordering and returning process is more of a bear, which is why I am trying to increase my chances of success by asking you all.
I am thinking to get a rashguard for sun protection on the beach, but I bet the Europeans will think it is bizarro
MsMaven, interesting point about the J. crew cut. I used to have their newly revived scoop tank one-piece and it was a bit too wide, actually, and made me look thicker than I was. I did have a different style from them that I liked a lot though. Good reminder about Freya too.
Janet, J. Crew bottoms never fit me well, but I still had good luck with their suits back in the day. Also I think Lands End isn't as matronly as it used to be.
Makarame, I hope they work out!
Viva, I love your description of J. Crew style.
Gigi, I am kind of liking those mini-skirt bottoms too.