Since you have given no precise details of your location, here are a list of places from around the world, several I have been to myself, that are nice, peaceful places to think.
North America-
Cadillac Mountain (ME)
Colorado Springs (CO)
Muir Woods National Monument (CA)
Great Basin National Park (NE)
Grasslands National Park (Canada)
Alaska
Europe-
Pyrennes National Park (France)
Switzerland in general
Glencoe (Scotland)
Alps- there are many small chalets that take people in and that are away from everything else
Vatnaj?kull National Park (Iceland)
far east Russia/ Siberia
Africa-
Anywhere in Africa you will find quiet places. Apart from the coast, people live spread out. Avoid large safari parks.
Australia-
Pilbara
Punakaiki coast (New Zealand)
The Milford Track (New Zealand)
Asia-
Mongolia anywhere
Sri Lanka
There are many other places where not a soul breathes, in China for example, but the governments in place would not allow you to go off on your own
These are just a tiny sampling. Hope they get you thinking!
Scotland
French River and Georgian Bay area of Ontario.
Rapa Nui. You will never be the same.