What are your experiences with full fairings (if that's the correct term)? I mean full enclosures, whatever the material, cloth, fiberglass, aluminum, etc. What type of bike do you ride with it: LWB, SWB, low, high, delta, tadpole?
I'm really interested in getting an enclosed recumbent for commuting and short errand running and it looks like a hard shell trike would have easy internal storage.

Fully enclosed (2005-now) VeloKit (2007 - 2009) both are pictured here somewhere!:
https://www.flickr.com/groups/555784@N20/pool/
Both were tadpole trikes (1 fiberglass/kevlar and other was canvas)

Photo from 2007; Pod on left, Velokit on right; "NOSE TO NOSE"

Probably the most widely-used full-fairing setup in the US is the TourEasy and its progeny (GRR, Ti-Rush,) using a front fairing and a body sock. There is no extra storage to be gained with the body sock, though.

Indeed. Although a body sock doesn't interfere with installing panniers, and it's quite versatile. If things get too windy, you can remove the sock and gain some stability.

If you want to look at hard-shell, practical type recumbents, do a search on "velomobile". If you're in Taiwan (what city?) you can probably get a Greenspeed Glyde easiest.