My understanding is that digital dental x-rays deliver an order of magnitude less radiation dose than traditional film x-rays. So maybe there's a way to do this with an extremely small dose, especially because you might not need to produce super-sharp images.

Randall Munroe's radiation dose chart (https://xkcd.com/radiation/) says that a cross-country flight delivers a higher dose than a typical dental x-ray or even a chest x-ray. Maybe it would already be worth it with really modern imaging equipment.