Buck, you do need to relax a little bit I think. I understand your frustration, but RO water isn't going to magically fix all of the problems going on here, nor is it, in my opinion, the main problem. I have kept a successful reef tank for 2 years with tap water and phosban with no adverse effects to my animals. I've moved away from it now, for ease and to try to get even better quality water.
Personally, I don't think you let the tank cycle enough before adding a lot of livestock. Moving the rock from another tank still has the rock experiencing a lot of die off. I would guess that phosphates from feeding heavily, nitrates from the move, and the lack of RO water are all contributing to your slime algea problem. If you take measures to slow down, let the tank cycle, and just let it go for a while, then you will be fine. Cutting your light cycle back for a few weeks won't hurt. Keeping your animals in QT for 6 weeks will help a lot. Just slow everything down, and everything will get how you want it to be...a lot of this hobby is about being patient and diligent. You'll get it, just let it all slow down.