Not to toot my own horn, but https://github.com/spatialdev/PGRestAPI is a project I've been working on that hosts .mbtiles vector tile exports from Mapbox Studio.
Still needs lots of documentation, but basically, drop your .mbtiles files into /data/pbf_mbtiles and restart the node app. It will read thru that folder and offer endpoints for your vector tiles.
It will also look thru /data/shapefiles, and create dynamic Mapbox Vector Tiles on the fly based on your .shp. You can also point at a PostGIS instance and get dynamic vector tiles.
We use them in conjunction with https://github.com/SpatialServer/Leaflet.MapboxVectorTile, a Leaflet/Mapbox Vector Tile library we've also been working on.
Hope that helps.
