Hey! Sorry, I was on vacation!
I do indeed have an Angora rabbit. I brush her at least every other day. Every day would probably be better but it works for me. By "brush" I mean doing a pretty thorough job, not just a quick brushing like with a Jersey Wooly or something. It's important to be gentle because rabbits have very thin skin compared to most animals. If you find any matts (or tangles starting to form), remove them by hand. They usually come out easily through physical separation, scissors are only necessary for very large matts (and if that happens, you're not brushing the rabbit enough). The proper way to use scissors is to use them to separate the matt (usually by cutting down the center). Simply cutting it off won't get rid of it completely and will make the coat look messy.
English Angora rabbits are usually sheared, not plucked, so I'm not sure if you can pluck them too. Plucking is just removing loose wool by hand, it comes out in clumps. Some breeds, like the French Angora, are only plucked and not sheared. I would look up information on English Angora rabbits to see if that's an option. It's easier IMO and it's harder to mess up the coat.
Blowing the coat out helps prevent matting and also removes dander and loose wool. It's a good thing to do if your rabbit tolerates it. I also groom my Angora outside whenever possible, the wind helps blow out the coat, she's distracted (and less likely to kick me, haha), and I make less of a mess (the wool just blows away and gets used by birds for nesting material).
Wool should be coming off like you're describing, that's normal. If that's happening, the rabbit may need to be plucked
. Believe me, the wool grows so fast (with a proper diet) that there's no need to worry about your bunny going bald