Don't now about ssd drives, never had to try one.
You can pick up old IDE & SATA drives by salvaging them from old SKY HD Boxs (or other Satellite/Media TV Boxes). An IDE can go straight in but a SATA will need an IDE to SATA adapter and the IDE ribbon replacing with an 80wire one.
Hope this can be of help to you and others.
EDIT *Google seems to indicate some SSD drives are installable but it seems to be a little over the top for an OG XBox.