I remember seeing kerosene pumps at gas stations in the northeastern US, but that was a long time ago. The pumps looked like gasoline pumps, not something you would use to fill the 1 quart (or less) container that a cycle tourist would carry.
White gas is mostly available at camping/backpacking stores or the camping section of big box stores like Wal-Mart, but I've seen it at the local supermarket around here. The trend in camping fuels seems to be toward various compressed gas cylinders, either little disposable ones that are a good size for cycle tourists or great big refillable ones for the motor home crowd. I can understand wanting to avoid Wal-Mart, and I can understand not wanting to carry a gallon of fuel around, but a gallon can of white gas/Coleman fuel from Wal-Mart (or REI, or any other big store) will last you a long, long time and you won't have to worry about where to find fuel for a while. If you're touring with a group, you could buy a gallon can of Coleman fuel and four 1-quart or 1-liter fuel bottles, and divide the fuel bottles among the group. If you're doing repeated tours from your home, buy a gallon can of Coleman fuel (or kerosene) and a quart or liter fuel bottle, stash the gallon can at home, and bring the fuel bottle with your stove. Depending on how carefully you cook, a quart fuel bottle and a full fuel tank on your stove could keep you supplied for a week or two, maybe longer. The fuel tank on your stove looks big enough for you to cook meals for 2-3 days if you're careful. I think you can still buy kerosene in hardware stores, that's another source.