I have a wartskin angler in my 28g nanocube. I have a medium size CPR Aquafuge 2 hang on back refugium. I have chaeto growing in it with the light on 24/7. So far it seems like it's working out okay. I have not had to clean the glass for a couple weeks and my GHA from my cycle is going away since I got him but he is a little tiny guy (about 1.5"). I have not hooked up the skimmer yet as I need to clean it, but I'm sure it will help. You can check out a very short video of him in my 120g tank thread.
As for the biocube. I think it will be okay. I suggest getting the Intank filtration and fuge for it. I think there are better options as far as skimmers go but I don't know them off hand. Hopefully someone can chime in on that. As far as the difference between them and nanocubes, well are you gettng the new one with the HQI lighting? If it's the old one, the only thing I don't like about it is the hood. There is no hinge so you have to pull it off everytime you want to mess with the tank. It's no big deal as there are openings on the top for feeding. It's just that I'm used to the canopy of the nanocube with the hinge. Still the biocube is a nice tank.
Also keep in mind what you are planning on feeding your angler. If you are planning on feeding it live food such as damsels or ghost shrimp, you will probably need a separate tank, or two, to quaratine them. You can always just throw the fish in the tank but at the risk of your angler eating a sick fish. I plan on using two 10g tanks. One will be strickly a QT. This will be where the new fish will go for a few weeks. Once they are done with quaratine, they will be moved to the other 10g ready for feeding and I add more fish to the QT. Another option is to train it to eat frozen. I've read that may not be good for the fish and that they really need to eat live food but I don't know for sure. I'm still learning as well. I'm going with live food for now because I like watching it hunt his food. Also having fish in there would add some movement to the tank.
The angler is the most awesome fish I have ever owned. It's just amazing watching him move around, hunting, and eating. Anyway, I hope that helps alittle. I'm fairly new at keeping one myself so hopefully someone with more experience will chime in and we can both learn something.