Finding the fuse is only the FIRST part of the diagnosis, the next step is to find out what’s on that fuse and in your case there may be more than just the ABS. You might look for the diagram for that circuit on this site to see what other components are involved besides the ABS if any and if you find some then eliminate them one at a time by unplugging the component to see if the draw is still there, if it goes away then you’ve found your problem, if not move to the next part of the circuit.
Here’s the video I did on parasitic draw testing
http://www.youtube.com/watch?v=KF1gijj03_0
Here’s the site for wiring diagrams
http://www.bbbind.com/tech_database.html