I keep sps, lps and even a few softies.
As unibob said, I keep undetectable nutrients via pellets and gfo, and do target/spot feedings for the lps. Last night was feeding night, I turned off the pumps, put some pellets in one corner (to distract any fish that woke up and the sniffer on the shrimp). Then dropped a soup of mysis, micro pellets and reef roids onto the top/mouth whatever of each lps. Things like candycane closes right away. Acans really take their time, and chalice...well chalice is the slowest eating coral on the planet. Once the chalice has got a few globs down I fire up the pumps and go to sleep. Works well, but if the lps aren't fed they don't grow.
The other key I find for a low nutrient system is very frequent water changes. Who knows maybe it's the carbon or something, but the sps really takes off when I'm doing a LOT of water changes.
I'm still not sure how GFO could kill sps. Was it regular GFO or was it aluminum oxide based?