>>266654>no stops at a store to buy foodThat sounds like a pretty poor idea to me.
1. Food will cost about the same amount in Oregon, Idaho, Missouri and wherever else you go. The fee for preparing it might be more (restaurants), but grocery stores will be comparable.
2. Touring burns a lot of calories. I estimate around 5000 a day from my experience. You also need things other than calories. A lot of touring cyclists (myself included) eat A LOT of peanut butter. Fresh fruits and vegetables are also fucking amazing.
3. Carrying more than a week of food gets heavy and bulky.
4. You'll probably need to stop in a town for water anyway, there's no reason you can't refill your food supply on a water stop every now and then.
5. Touring isn't the same as backpacking. If you're on a road, you're at least a little bit connected to civilization. You'll run across stores without going out of your way.
I'm not sure what kind of shape you're in, but I could probably make it a thousand miles or so if I carried essentials, food and nothing else. To reiterate, it's a bad idea.
If you want to save money, food and lodging are where to look. Don't eat at restaurants. Don't buy snacks. Buy in relative bulk. You can stealth camp for free just about anywhere. If you're paying for someplace to stay, you can do cheaper.