I'm a newbie to backpacking but not to dogs, and especially not with the herders. I have a bc myself who went on her first trip last September and carried a pack with her food and some supplies. We were in the Emigrant Wilderness, she was always on leash (except swimming), as I worried about wildlife. My girl is super fearful in the city (she was an "unadoptable" rescue, but this is sort of common with bc's), but looooves the wilderness. We went on a busy weekend and ran into a lot of other people and dogs, but everyone was super respectful with their dogs. We didn't have any problems, except I did wish I had trained her to wear booties as I waited too long to put the musher's secret (paw wax) on her and she was pretty worn down on her pads. Border collies are super easy to train-they live to learn new things, but respond best to positive, reward-based training. Work on a strong recall before you go, as you never know what can happen and you want to make sure she'll always come to you. I used the foam pad for my girl to sleep on, and she burrowed into my puffy jacket and slept on top of my head one night (it got cold). She's getting her own wrap this year

Also, just read your other posts. BC's do NOT respond well to being forced into position. They also won't take treats (as any dog wont) or food rewards if stressed. Build up your bond with her through play and fun stuff first, and then go slow. "Load" the clicker by clicking and then giving treat (seemingly for nothing, but she will associate it with good stuff). Build on the associations slowly. The come command is the hardest command, as they need to want to come every time. So it should be worth it every time

Dominance theories are old-school and outdated. No dog is trying to out-dominate you...they're just trying to figure out what you want. Sounds like she was used in some sort of backyard breeding operation? Poor girl, thanks for giving her a new life! For some great tips and tricks, go to Kikopup's page on youtube (she's a well known trainer):
https://www.youtube.com/user/kikopup