I have one SPS colony in my system which was fine after the blackout still trying to identify exactly, but I think it's stylophora... Also a nice branching hammer, trumpet (candycane), favia, GSP, zoas, all fine afterward. In fact once the dino was gone everything was looking better than ever 2-3 days after the wraps came off!
I'm trying to remember if there was SPS in the tank at the LFS.... I was talking with them about my dino problem and they showed me the tank they did the blackout on for 10 days to deal with their dino and it was a heavily stocked mixed reef; lots of SPS, softies, anenome, urchins... I'm pretty certain there was SPS in there too but I can't say 100%. They didn't have any reservations about recommending the procedure to me and we didn't get into exactly what livestock was in my system.
Just poke your head in there after a few days with a flashlight and check on things, then check each day afterward. If 10 days seems like a lot (I know it's a tough pill to swallow!) maybe start with 7days. I noticed in my system that on day 3ish my skimmer was pulling a lot of crap from the dieoff of nuisance algae and dino, then afterward it settled down. I was also running a lot of activated carbon in the system to pull crap out of the water during the dieoff. When it's time to unwrap ease back into the lighting. I started with T5's only on the 1st day, then an hour of MH on the 2nd and each day after an extra hour of MH until I was back up to regular lighting.
The thing the LFS stressed (and I will 2nd) is blackout. I don't mean lights out, I mean tank completely covered in dark material. And when you feed and inspect things use a light with an incandescent bulb.
I don't want to give the impression that I'm a pro at this (I've only been reefing for a couple years) and only had to deal with dino once, but I tried all sorts of methods over the 8months that I was dealing with it and nothing worked until I spoke to my LFS about it and they suggested this method. I understand that every system is different and every reefer has different methods, but I feel your pain in dealing with this problem and hope you can benefit from the advice given to me and my success.