Here’s another map plugin, called “Maps Marker.” This one is also based on Leaflet, but seems to have many more features, at least at first. Here’s a simple map:
This may take some work to bring it up to speed: you have to load your own marker icons etc, and many features (e.g., GPX tracks) are unavailable, unless you get the Pro version — at €249 for the license, no thanks! Meantime, the actual markers didn’t even show up on the map (though they did show up on the post preview), let alone the pop-ups — again, this may be a problem with my theme, though explicitly creating a map for one specific marker does show up (sans pop-up or tooltip):
It looked for a second like we were getting close, but still no cigar.
UPDATE: I added some experimental CSS to this post, which at least made the pop-up content show itself more reasonably.