The AM Transmitter Challenge is the first and only side-by-side comparison of its kind where these AM transmitters are compared against one another, not only in an identical Part 15.219 compliant installation, but also performance verified by the Potomac FIM-41 field intensity meter - the same equipment used by professional broadcast engineers ...
One of these transmitters is what you need. Technically it meets part 15 rules when at its lowest power setting. Apparently these are legal to sell because they are kits. It would be up to the user to set the power level to provide the desired performance. Edit: You could try it on the AM band with one of these. Maybe this would be legal under ...