Non-photosyntetic corals will require a really good filtration and skimming, and the food is more expensive and less readily available.
Softies: mostly gorgonians, red finger gorgonian, yellow finger (both Diodogorgia nodulifera), Swiftia exerta and Swiftia kofoidi, and one with smallest intense blue polyps. Blueberry didn't worked for me and many others - nobody knows, what it's eating. The usual food for this size of polyps didn't worked.
Next are Chili coral - although they are frequently mentioned as easier, and good for beginners - they are not, and if you will find the reliable way to make them open to feed - post for all of us.
Even more special requirements: scleronephthya and dendronephthya, they (the first, at least), live in one systems, and dieing - in anothers, while all other corals are doing perfectly well.
LPS: tubastera (sun coral), may be dendrophillia or duncans.
If the low light is the issue, the following corals should work:
White xenia, close to the top:

Neon-green candycane:

Green hairy mushroom (grows very big):

Green star polyps, brown star polyps;
White lemnalia:

Macroalgae Ochtodes (will be brown under the high light):

Frogspawns and hammers, but they will need time for adaptation and better be placed higher:
These were growing in 12" (30 cm) deep tank under 18W PC (combo actinic ans 10,000). With better light - you may add red mushrooms:
Article about Deep water reef tank, and can't find link, but few months ago here, at RC, was thread, something like: show me your low light tank, less that 3 Watts per gallon (quoting from memory, wording should be wrong). Nice tanks, by the way.
Good luck!