We had a couple of high-end kid's bikes (Early Rider Belter) with belt drives and they were great for that use. One was a single speed and the other had a 3-gear hub.
But for full range drivetrains, I think chains and derailleurs have finally got to a point where they are pretty much maintenance free anyway. For me the turning point was moving to a dry wax lube.
However I can see the attraction of a belt drive for a bike like yours. It would save the 5 mins it takes to re-lube my chain every 150 km or after any wet ride and no chain corrosion if I leave it wet!