I've got 3 locs, in GFay, that show the path for one of the basilisk spawns. Its over by crushbone. Seems to be on a 5 min (approx) timer. On 3 kills I got 2 skins.
For any DE doing their quest(s), forget Nek, just go to this area:
1996,-400
1797,-714
1533,-970
Plot these points on your map and you'll see the pattern of the pathing.