I ordered a case of snuggies original old stock and a case of tighty whities on Oct 4, they arrived today. I did not receive a shipment notification from Snuggies, but I did receive two notices from UPS. I recommend you sign up with them. I got one notice when a shipment was created, with an estimated date of delivery, and I got a second notice the minute they were delivered to my door. (while I was at work)
Both cases were discrete, plain brown cardboard boxes.
FYI, the Tightie Whities (formerly Scene Extender) appear to be identical in every respect to Waddler Overnights, except they are all white instead of mostly night blue. Everything is white except for the pull ends on the tapes, which are that sky blue. No wetness indicators. Same textured crackly feeling harder shell where the tapes go. (does not have the HARD smooth tape panel that is on the regular snuggies) Probably not good for moving tapes, best to stick them down where they belong right off the bat.
Update: my mailserver was having issues. I did receive a shipment notification from Tykables for both cases. The emails did not have tracking numbers but did reference my order number. Although they have some pretty comprehensive order information available on their web site, they don't have a tracking number there either.