I did a number of searches for everything from "Stellar Cartography" to "3d star maps" to "stellar navigation" (this last one mostly provided info on using the stars to navigate on the ocean's surface). I've found some things, like this, that list the nearest stars and have a general plot of the nearest ones but the way that these maps are laid out I really can't tell which stars are between which. I found Nasa's "Eyes on the Solar System" program (which is really cool looking but not really all that usable), this list of 3d star maps, and this stellar database (which is really useful for other things but can't tell me which star routes have navigational hazards).
For reference, the seven stars that humans would be traveling between most often would be Sol, Proxima Centauri, Epsilon Eridani, Tau Ceti, Wolf 1061, Fomalhaut, and Wolf 922. There would be other stars in the story but those are the most important ones, and the most important trip in the story would be a longer one that leads some 500 light years away via multiple jumps. Is there an easy place to find this kind of information?