I live at elevation and just continue my normal training week, sometimes even lifting in the morning and heading out that afternoon. That being said, if you’re facing a major elevation change, going into that trip depleted and/or in a state of recovery will negatively impact your acclimation process. If it’s a big trip, you want to of course avoid getting injured just before the trip and if you hunting trip is the “big event” you train for all year then you should taper similar to an athlete leading into a big game, playoff week or race.
Also, if you are actually training, and not just exercising, you shouldn’t be particularly sore, especially that close to peaking. Soreness simply means that you are doing something (movement, activity, volume or intensity) that you are not adapted to. A training program should taper your progression in a way that you don’t experience major soreness because it is too costly when it comes to your recovery and adaption time. If you are getting “sore as shit”, you might rethink what you are doing, either the program or the random way in which you are exercising that is causing excessive soreness as it doesn’t translate into any type of meaningful training unless you are capitalizing on stress, recovery, adaptation cycle. If you are in fact capitalizing on the SRA cycle, then you should not be experiencing that degree of soreness because of the adaption. Sore just means sore, if doesn’t mean “better.” If you are getting that type of soreness in a setting where you are training for the primary purpose of athletic performance (as opposed to aesthetics where soreness may be more common), then you are likely stunting your progress.