I used to have a blast hunting jacks, both at home in central Texas and in the desert around Las Cruces, NM.
If you are going after them with a bow, prepare for:
1. A lot of fun.
2. Losing some arrows.
3. Probably not hitting any.
4. Maybe scaring a few.
Don't even think about the cooking thing. They are nasty. I know. We tried to eat one once that took a ricochet shot to the throat with a broadhead.
BTW. Take a map and compass or one of them new fangled GPS things. It is amazing how everything in the desert looks the same when you haven't paid attention to where you have been going.