Maps have been used in many different ways in digital humanities. The following are sites that involve building something with maps.
For several different tutorials: Spatial Humanities Lab Step by Step
Big Mapping Sites: Google Maps, Open Street Map, Google Earth
Comparing Old Maps to Today’s: NYPL Map Warper
Georeferenced Pictures: HistoryPin, PhilaPlace
Literature Mapping: Litmap
Layered Maps: Hypercities
Map Collections: Old Maps Online
Professional GIS Software: ARCGIS