I've never had the front off, but when I took the rear off for a weekend this is what I did.
Lay the foam from behind the seats on the ground. It is lightly padded and saucer shaped. The rear clam will sit "bumper" down. It was very stable. For safety and peace of mind I leaned it lightly against the wall and used a strap to keep it from moving much. It did not settle at all, and was in a very easy position to pick up for reinstall.
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2005 Lotus Elise, de-Hass'd. RLS mini-mirror, MWR Lift Point Kit, Homebuilt cup holder, Radium Clam-Kit, Sector DSbrace, and gPan, generic Deka ETX20L. Adding Lightness by dieting, and reducing lap-times by adding seat-time.
2003 Subaru WRX, now with bebuilt engine.
1976 MG Midget, sold/swept up.