Use an existing Google My Places map with Maps API v3 design

I am trying to use my own style created using the Google Maps API v3, with an existing map created using the My Places tool, without loading KML data.

Here is a link to my map with KML data:

https://maps.google.co.uk/maps/ms?msid=214652605574280498452.0004d3cc7c556a8346d32&msa=0

I saw a previous question that addressed this issue:

Request an existing public Google map through the Google Maps API v3

However, instead of loading KML data, is there a way to use my map directly? I need to make changes to place markers later without loading KML every time.