Berghia's do work, it takes 4-6 months but they do work. The big thing is they will not get every last one. A multi prong approach is the best bet. going with the nudi's and a aptasia eating file fish or CBB. Once the nudi's knock back the aptasia, the fish will keep any future outbreaks from happening. After putting the nudi's in your tank, 4 to 8 weeks may go by and you'll not notice any changes in the aptasia numbers. Then one day you'll look in and see a whole area of the tank cleared out. From there things progress quickly. Once you start seeing them during the day or on the glass you'll know they are running out of food. If your going to try and sell some of them off that is the time to try and get them.
With predation by wrasses. Like Jin said they are nocturnal and the wrasses bed down for the night, so they don't cross paths often. Once the nudi's are eating well they transport the toxins in the aptasia to their backs. That's what gives them their color. If they're all white with no color they haven't been eating. Once they are colored up, if a wrasse picks at one they usually spit them out because of those toxins. It doesn't take too many times of that happening before they leave the nudi's alone.
I would look to buy them right after the holidays. With the vendors not shipping now (if shipping there may be no guarantee's) they will have a larger volume of them that they'll need to move. If those vendors have to many nudi's they'll start having problems with having enough aptasia to feed them. That's when they have sales to move out stock.
This is where I got mine and had very good luck with them. Lots of good info to read there as well.
Salty Underground is the online store for the saltwater aquarium hobbyist. We have a large selection of saltwater fish and other marine livestock for sale and always free shipping after $99.
saltyunderground.com
Just keep looking at the site for sales. They even say look for better pricing on 1/2/20.