Dominik,
I don't think it is bryopsis. Too fluffy for that stuff. As well Bryopsis doesn't form runners like this stuff you have in the pictures. I have had loads of experience with bryopsis
and this isn't it IMO.
I don't know that it will work for you but what I did to get rid of my algae problem was by raising the pH of my tank to 8.6 for about 3-4 weeks.
You would HAVE to use a pH meter in this case as you want to carefully monitor the pH as you do this. Too high and you can have a mess on your hands.
To raise the pH you can do the following. Take baking soda and bake it in the oven (300 deg F, 1 hour in a normal oven). You then use it by mixing it in with RO/DI water and pour it into your tank. I used to mix 2Tbsp of soda with 4 cups of RO/DI and pour 1/3 in at a time so I didn't have a huge pH spike. Start slow with this stuff and get used to it. Don't over do it.
For a more concrete identification and possible predators you may like to go ask Anthony Calfo on Reef Central. He has his own forum there and is very approachable.
For removal by hand one thing you can do is get some very narrow diameter hard acrylic tubing , 1/4" or so and set up a siphon and suck the stuff out when you do a water change. GEt as much out as you can and do immediate water changes.
hth. sorry I couldn't help more.
Cheers!