Star Trek: Enterprise premiered on September 26, 2001 with the episode “Broken Bow”. The Jonathan Archer Hallmark ornament came out in 2003, so any episode images or publicity photos that may have been the ornament’s inspiration would have had to come from the first season and a half of Enterprise.
I have only seen the image above twice. First, as the signed 8×10 photo (above right) and I mean this actual photo. I have not even seen this image anywhere else on the internet except as an uncropped grainy image on a Spanish website (below right). It is curious that the ornament matches so well to such a rare image.
By far, a more common image that can be found on the internet (above right) was from the premiere episode, Broken Bow, Part 1 (18:30), as the Enterprise is disembarking on its maiden voyage during the Zephram Cochrane speech. I would like to think that such a monumental moment in Trek history was the inspiration for the 2003 ornament.