You want to stay in the Park?
If thats the case, register NOW. Unless it is a non reservation like Cosby, you have to reserve.
When you say view, of what? The streams? None of the campgrounds other than the backcountry ones (don't know which ones) have what I would call a view, makes sense as they are in the park. If you want a view of the mountains, you have to go outside the Park to get that.
The list of campgrounds are:
Cosby
Cades Cove
Elkmont
Smokemont
Catalooche
I think that gets them all. These are the ones vehicle accessible. There are dozens of backcountry sites, but you have to hike in and reserving them is tough unless you know months out when you want them.
To access the in Park campgrounds listed above, Google them to get to the reservations web site. Most are about $20 a night. Holidays and leaf time is hard to get unless you register waaaaay in advance.
My suggestion is to not go through Sevierville, Pigeon Forge and Gatlinburg unless you like lots of bumper to bumper traffic.