I use a Uline Indestructo foldable box like what SnF linked that is 9x6x3-ish which is taller than what you would need for woozies. It fits 3 Pure Evil tins which are slightly wider than woozies. If your goal is just for display, find a nice mini wood crate, use raffia or crinkle kraft shipping/stuffing, rest the bottles on the stuffing, nice presentation.
If you actually want to ship the bottles in the display boxes, then maybe get a slightly larger box and use bubble wrap. Should still fit into a shipping envelope. Also, if you put the bottles in head-to-toe, they fit tighter in a smaller box.
One more note- not all bubble wraps are created equal.... lost a lot of money using fleaBay bubble wrap. I only use Uline bubble wrap.
Good Luck and to THP!