While doing 100- 150 miles a day is doable if you train yourself to handle such distances, it won't be as enjoyable as doing less mileage every day.
Also, if you plan to do this kind of distance, you have to make sure to carry enough repair gear (and know how to use it) to get back on the road quickly should something break on the bike.
In my experience, it can be hard to coordinate places to camp with restaurants. If you plan on doing high mileage, you will need to eat lots of food before, during and after your day's ride. Since you aren't going to carry cooking gear, you will need to find a place for breakfast soon after starting out or risk running out of energy at the beginning of the day. Of course, you can carry breakfast foods that require not cooking but you said that you didn't want to carry food. If you are going to have to carry food, you may as well carry cooking gear and eat well.
Good luck,
Ray