So I'll echo the sentiments of everyone who is advocating for a larger CUC. They're a major benefit, and it's only really a problem if you massively overstock them, especially the larger-bodied CUC members. However, it needs to be said: In a situation like yours, the CUC will not likely be the solution to your problem; they will be what prevents your problem from recurring further down the road.
One thing that no one else has mentioned is lanthanum chloride, available in several different commercial formulations. It's probably the most effective means of quickly lowering phosphate (which I think pretty much everyone would agree is the root of your problems), but it does have some drawbacks to use. Notably, it can lower your alkalinity, and it can cause breathing problems for certain fish (I think Zebrasoma tangs primarily). Basically, what it does is react with the phosphate to form a salt, which then precipitates out of your water. Simply filtering the precipitate out of the water (done with a 5-micron filter sock) will then remove the phosphates from your water. It's this precipitate that can cause issues with fish, as the salt is fine enough that it can get caught in their gills.
If you decide to go that route, make sure you have the filter set up ahead of time, and be aware that socks that fine clog pretty quickly. Slow drips are best with it to minimize issues. Technically your skimmer can also remove the particulate from the water, but I'm not sure that I'd chance it without the filter sock.
There's a dosing calculator I use for lanthanum chloride, I'll dig up the link for you if you're interested when I get home tonight.