New answers tagged network
I'm in a similar boat as you and this site has been more than helpful: http://www.ing.unitn.it/~grass/docs/tutorial_64_en/htdocs/esercitazione/network_analysis/index.html It goes through the various v.net tools in GRASS - I'm not a coder or anything, but I've become pretty familiar with GRASS over the past few months with the help of this site.
I am a bit late to the party here. But you can use Grasshopper API - They have a matrices component that you can work within called the Matrix API There is also Mapzen Leaflet Routing Plugin or the Mapzen Valhalla engine as well as Mapbox Distance API which you can tap into the
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