I had the seals on my class C motorhome's ball joints go out while traveling in Alaska. I had things checked out in Tok, the first place with service I came to once I figured something was genuinely wrong. It was going to be a wait of several days for parts and for other jobs queued up before me, so I elected to carefully drive on to Whitehorse and had the work done there. I can't say whether that was the wisest choice or not, but at any rate it worked out okay for me, and I much preferred spending a few extra days in Whitehorse than in Tok. I stayed in the motorhome in a campground while waiting my turn there.
Granted a motorhome is a little different than a tow vehicle and trailer, in that there's no question of whether you leave part behind or not, but the overall ideas are somewhat similar. If the work needs to be done urgently or somewhat urgently, there's not much choice but to trust some mechanic you've never encountered before. Luckily, there are many competent mechanics out there (but unfortunately a few who are incompetent or worse). Asking some locals for recommendations is often a good way to find one. A shop that for whatever reason can't fit you in or help you can sometimes be a particularly good place to get a recommendation.
An RV is in my opinion one of the best vehicles to have a breakdown in, if there is such a thing, since you have a restroom and a bedroom and can make a meal or two or three right there if it comes down to that. It's a lot handier than having to wait out a long time in a minivan or whatever.