Hang in there! Like Johny mentioned above, it is likely that your rocks are soaked with bad stuff, nothing that won't turn around with some patience.
I would try to hold off the red slime remover - the stuff tanks your PH and drops your oxygen levels. Not to mention the tank crashing from all the die-off.
FWIW - I'm not at all a fan of cutting lights out for days at a time, you will visually make progress, but nothing that will last after the lights are back on, and the corals will suffer.
a reactor is a very nice to have, stay on top and maintain them.
for the red slime vacuum it out:
(1) you can use a tube and siphon into a bucket (you vacuum, someone else holds the tube in the bucket), bend the tube to restrict the flow, the nice part about this method is you can match the amount of replacement water you have.
(2) use a venturi based vacuum like the Python available at most pet stores.
The red slime should just pull off, if is does not use a Kent scraper (
http://www.fosterandsmithaquatics.com/product/prod_display.cfm?pcatid=4072) and SLOWLY scrape off while sucking the bad stuff out.
IMO the key here:
* frequent water changes (exporting the bad stuff)
* on every water change vacuum out as much as you can (exporting the bad stuff)
* when vacuuming the sand you will pull some sand out, no biggie. if it clogs the python reveres flow into a bucket to clean out)
* run GFO (reducing phosphate, exporting the bad stuff)
* continue running carbon
* don't turn off lights for extended periods of time
Hang in there!