Python/arcGIS to create outline around points (isochrone)

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I am trying to generate my own iso-chrones using Google and Python and have reached a point where I can produce two data-sets which I would like to combine in the following way:

  • Points (reachable within X minutes drives from a centre)
  • Roads network (from OS Open Roads) [if this helps]
I don't want to draw a hull around the points (even an alpha-shape/concave hull) because I find it includes too much stuff that is not reachable within X minutes.

What I wanted to do was find a way of combining the points and the roads network shapefile to create a nice polygon that will become the isochrone.



The goal is turn the bottom image (which I create) into something that looks like the native arcGIS drive-time isochrone (the top image) working only with points inside a desired duration and roads shape-file:





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