I don't know about a reasonable price (depends on what you consider reasonable) but the Digital Velocity irons have a no-shut-off feature. I have the V100, which is no longer available, and love it. The steam is the best, and it cannot leak. I got at around $90, however, and don't know if I would pay the current price for the newer model.
https://www.amazon.com/dp/B01J861F00...=9431816550301