You can modify extentGrowthRatio
to add a larger margin around the seeds. If you specify a very large value then it will always include the entire volume. For example, if you use the Segment editor module:
gfs = slicer.modules.SegmentEditorWidget.editor.effectByName('Grow from seeds').self()
gfs.extentGrowthRatio = 10000
You may also try Local threshold effect, which takes care of the extent (it uses whatever large extent is needed), allows setting the threshold range in the same tool (you draw a small region to specify the threshold range, then you get the complete segmentation with a single Ctrl-click):