I always think Free People has some pretty awesome swimsuits, but they’re pretty expensive.
You could check Urban?
Iv’e got this plain, black bandeau top, two piece I usually always wear and I never have to worry about strappy tan lines, but I don’t ever tan either… I’m kind of a skin freak. I got that swimsuit at Tilly’s. This is the one I actually have:
ModCloth has a few cute pin-up style swimsuits. I really love that style in swimwear, and they also offer plus sizes.