score:6
I believe the Algonquin (Provincial) Park fits perfectly your expectations. That is a big green area in the middle of Central/South Ontario on maps.
It surrounds the Highway 60, which gives access to many sights.
The park has either easily accessible spots (on the map above) for everyone even with disabilities, or deep forest trails or canoe routes accessible to the more trained people. I believe you are looking for the former. Take a (regular) car and go drive-through the park with that map.
The feeling of being "truly in the wild" will come after the last Tim Hortons will disappear in the mirror, 50 km from the park. I think that is the most wild you can find without hiking or canoeing. Many people from Toronto and Ottawa come by car to that park, so it is easily enough accessible, but still offers true wild feeling.