Google Maps will give you a "slippy map" framework, plus a lot of stuff specific to Earth: geocoding, places, routing over roads, etc. The stuff specific to Earth is, well, specific to Earth, so not all that useful to you: I think all you could use Google Maps for is the slippy map framework, and given Google's licensing restrictions, you are probably better off using a different one, like Leaflet.
The Open Street Map project has two things: data about the Earth and tools for populating the data set. While the data won't be interesting to you, the tools probably would be, and keeping the data on OSM format would allow you to use OSM routing and search tools.
For geocoding: it's your world, so you can determine what the street addresses look like, which might make it easier to geocode. (One of the things that makes geocoding difficult on Earth is ambiguity: 234-3410 Mt. St. Michel Rd SE, Fooville, WA might be the same as 3410 SE Mount Saint Michel Road #234, Fooville, WA, 98279.)