I'm not sure what size you are, but if you're above size 14,
Junonia makes excellent swimsuits for sport.
I've been the owner of one of their aquatards for 5 years now and I can tell you - they are WARM! The fabric is thick and a little fuzzy inside. I'm not sure how their chloroban suits compare, but I've heard good things on the internet here and there. I purchased mine because I was wanted thigh coverage and it fits the bill nicely. The bra is a shelf-type bra, very secure, which goes all the way around.
The downside is that their suits are expensive, but mine has had no damage except for some stitching coming out at one of the shoulder straps (easy to fix) and the crotch seam splitting (I had gained weight, just sewed it up).
The link I posted contains the latest offer they sent to my email which is 10% off orders $50-100 and 15% off orders $100+ (ends Dec. 2). Just to clarify, I have no connection to this company besides being a happy customer and I will get no compensation for gushing about them.
(I wish I did though because I am drooling over a tankini with boyshorts).
Email or call them and ask them about swimsuits and jigglage concerns and I'm sure they can help you out with a recommendation. They also sell a lot of other athletic wear for sizes from 14/16 to 38/40.