I would say your best bet would be to try to pick an area that’s pretty remote but still has a decent amount of access for your first trip. Get your backpacking setup dialed and test it out on shorter 2-4 day trips using your truck as a base camp so you can still be mobile while figuring out the new area.
Just to be blunt you aren’t going to make it 7 days solo in the mountain west backcountry in spring conditions (let alone 2 weeks) without any experience living out of your pack with your gear for extended periods of time unsupported. This is all before we even consider locating, killing, and packing out an animal.
Pressure wouldn’t be a huge concern for me on a spring bear hunt in the region you are considering, there’s a ton of country and it’s not hard to get away from folks with a little effort and planning.
My best advice to you would be go try it out wherever you can get into some good public land with a bit of elevation to hike around, setup camp, and start getting your backpacking setup perfected, but realize it will likely need major adjustments traveling to a different climate.
What you want to do can absolutely be done but it’s going to take a lot of work and learning that you want to do before hand or you’ll end up sinking a lot of money into a disappointing experience. Check out the Exo experience project series and podcasts, they did a really good job of breaking down most aspects of planning your first adventure hunts.