10,000 miles on a road bike and only 2 flats? You can only beat the odds for so long. You don't have the problem of goat heads in New England, but every place I know has some amount of glass, staples, nails, etc.

You can be ride prudently and keep a close watch on tire wear, etc., but it's better to just get used to the idea that flats are gonna happen and be prepared.

BTW, I learned about goad heads the hard way some time ago when I was riding near Las Vegas. Taking a break along side the road, I made the mistake of riding on to the unpaved shoulder. And the rented bike didn't have hard case tires. BAD NEWS.