I'm going to play a little devil's (wife's) advocate here. You work a job that is high risk and requires you to be gone a lot. Your 2nd career (National Guard) is also high risk and requires you to be gone a lot as well, not just for your upcoming deployment, but for training, drills, schools, etc. You are going to be deployed for most of the first year of your child's life. Plus you will be gone with work and any pre-deployment stuff you have to do. While a deployment is no vacation, you have to understand that your wife is going to a single parent the entire time you are gone, and she will be worrying about your safety for that entire year. Personally, I think you should bite the bullet this year and not go out west. As tough as that may be, that is a show of good faith to your wife.
I fully understand the difficulties of balancing work, National Guard and personal/family life. I did my 6 years in the Guard. I had to sacrifice quite a bit of hunting not just because I had National Guard obligations, but also because I had to take into account the amount of time I was away for personal activities. Before I was in the Guard, I hunted every weekend and any other day I was off. Then, kids came along and military obligations. It's really hard to convince the wife to let me go hunting for a whole weekend, when I just spent the entire previous weekend at drill. Or to let me take off out west for a week, when I just spent the previous 30 days on state activity duty. It's a definite balance, and there were times where I just sucked it up and didn't do the things that I wanted to do, because it was better for my home life for me to be available at home, instead of stomping around the woods.
Everyone needs their personal time, I will never argue against that. And that is something you should talk to your wife about. But, right now she is going through so many physical and emotional changes, it is going to be hard to convince her that you need to go hunting. Now, waiting 10 years for your next hunting trip is a little unreasonable, but that was probably a pure emotional response. She probably does not honestly expect you to wait 10 years for your next hunt, but the thought of you leaving now, and then being gone for another 1 year afterwards is just a lot to process right now.