I think speaker break-in time has more to do with the capacitors in the crossovers than the drivers themselves. The drivers are fairly well broken in after 20-40 hours although may continue to change in subtle ways after that. But the caps can take a couple hundred hours or longer, depending on the type and size.
I usually run some kind of white noise at night - like ocean waves or rain sounds - and at fairly modest volume so it's easy to sleep with. During the day, I play something that my wife doesn't mind playing all day while I'm at work - jazz, classic rock, folk, etc.
My NX-Oticas now have close to 200 hours on them and I can tell a significant difference from when I first turned them on. There was a lot of "tubiness" in the mid-bass for the first 5-10 hours which has slowly dissipated, which I suspect is driver break-in. The sound has also gotten smoother, clearer, and more integrated, which I suspect is primarily crossover break-in.
I suspect they still have a bit of break-in to go, but they are sounding pretty sweet at this point. I don't have the subs turned on yet (cabinets are done and waiting for the drivers to be installed), but the NX-Oticas play low enough in my room that it's not obvious on most songs.
If you really want to minimize the noise, then doing what cujobob suggests is a good strategy, but you can't enjoy them like that. If you aren't home all day and live close to your neighbors, that's a good approach.