I will have to agree with the others, jackalopes are a very dangerous critter indeed.

Better be packing very heavy when you go on a hunt for them, they have been known to survive the shots from some of the biggest guns. Best bet is to try and hunt them with at least a Barret .50 caliber.
Anyhow, if you do find out when the season is, please be sure to be safe and wary of their every move. Just as dangerous if not more so than a Cape Buffalo.
When you saw the mounts, did they not have a plaque to explain the legend of the jackalope?
Good luck in your quest for the ever elusive jackalope, it could be a long hunt!!!