@Martian Church Its not that the 200 and the amp won't make noise but the amp might not be able to handle the load swings, 8ohn nomial with a dip to 4/5. Some amps don't like that and that leads to an anaemic sound. never heard the combo so comment directly but that's what could happen. And this really has nothing to do with Watts either.
BUT this isn't just with expensive speakers this also holds true for budget speakers. 2 -3 quid speakers can be difficult to drive well.
If it were me id drop the budget on the speakers to around the 500 mark and then put that extra cash into the amp. And if you're not opposed to another box id separate the streaming section from the amp. something like a bluesound streamer.
You're doing the right thing listening, but while you're there listen to all your options.
have fun!