We live on a residental street in the city limits, but do have a 5 acre lot.
Having said that, the peafowl are in a fenced off corner of my dog lot - in an area about 20x30 - with deer netting over the top to keep them in. They are about 200 ft from my house, but on the wooods side of the yard. Our house, outbuilding and dog lot are all in about 2 of the 5 acres, and are closest to the neighbor side.
Their shelter is 8x10 (so I didn't have to cut much lumber...) If you can take a look at the webcam (link below) you'll see my setup.
Honestly, they aren't too noisy. When they call, it is pretty loud, but it's not constant like some roosters crowing all day long. It's like a really loud raven caw-ing. They don't wake me up, though, and my bedroom is on the end of the house closest to the pen. They do call more since it's breeding season, and will also call when startled. They hardly called out at all before spring and hormones hit. They should settle down on the noise once breeding season is over.
They wouldn't work if you are in a tight neighborhood or had a boat load of them, but I like having them and I caught my next door neighbors on their deck the other evening with binoculars watching my peacock do his dance and display.
I also recommend keeping them in a covered pen - they will fly and roost wherever they want to and you wouldn't want them wandering around if you have close neighbors or live on a busy road, etc.