Give us some more information.
I'm a 34dd and I've got two bandeau swim tops (not bras). I don't know what the other commenters are talking about, mine stay up just fine. I got one from VS and the other from Nordstrom, I think.
you're not going to find bandeau style tops for a DD cup. they don't exist because they won't stay up. you're going to have to have something with straps that looks more like a bra edit: I take it back. you're going to have to go shop the plus sized stores. Freya is the brand that makes swimsuit tops in the UK in the style &size you want.
I have the same problem, bandeau bikinis are cute but they don't stay up and won't cover your boobs. They also make them look bigger so.. Just go to a bathing suit store and get a bikini that looks like a sports bra.