Your first two questions are kind of related to each other:
A smaller RV will be positive for both: Easier to find campsites for, and easier to drive around for general stuff.
You have to gauge how often you plan on driving around, and how often you'll be sitting in the campsite? How many times will you plug/unplug the camper before that becomes a hassle? Will you be staying at any one location for only a day or so before moving on or will you be parked for more?
If you plan to move a lot a smaller RV would make it easier and you wouldn't have to take a car.
However your other needs may dictate a larger unit (like the Outlaw that you seem to be leaning towards). Finding camp sites for a 30' Outlaw isn't that difficult, even in state parks.
What are your objections to towing a car? If you get something relatively inexpensive that can be flat towed you'll find it pretty easy.
If you want to see an example of someone travelling the country with just the RV (and a dog):
48 in 366 | 48 States, 42 National Parks and All the Backroads In Between
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