Right, I think of all the marine plants (and seaweeds) available, that mangroves are a poor choice for this application. They are also a bit finicky with regards to needs for light and space and such. They are beautiful in a dedicated tank of a refugium, just not in a typical reef display.
The calcerous macros - Halimeda (cactus algae), Udotea (mermaids fan) and Penicillus (shaving brush) are all nice accent items for a display. They will modestly help out with nutrient levels.
For lots of nutrient export you might consider Chaetomorpha (spaghetti, or brillo pad algae). This has some drawbacks in a display - mainly it can get clogged with detritus and needs to be shaken out to clean every few weeks, and small strands of it can break off and start new colonies elsewhere in the tank. BUT, its one of the easiest, least demanding macro's to grow.
Truly, though, Chaetomorpha does its job best in a refugium setup. You could also try Ulva (sea lettuce) in a fuge for export.
I hope that helps!
>Sarah