I wouldn't do it, basing that judgement on common sense; no real experience on international travelling with an SP....
...custom agents are meant to sniff out possible human trafficking incidents, and if they discover you're travelling with an SP, they'll flag you as the pimp and then the problems start happening. Too risky.
Stick to sex-tourism. Hire a Local. Fly to whatever exotic location you're thinking of, hire a local village girl, pay her "western rates" (which would probably feed her village for a year), tease the prospect of green-card marriage, and you'll have more enthusiastic and exciting experience for your entire trip, than some snooty upscale western girl who probably won't reciprocate. And I'm basing that on stories I got from my cousin who thought it was a good idea to hire a companion and spend a weekend at Sparkling Hills near Kelowna. 5-star resort, Spa Treatment pampering, and he figured getting 'frequent service' from the girl he brought with him. The most he got was a BJ just after they checked in, and then she avoided him for the rest of the weekend. He'd go to the pool, while she went to the spa. She'll go to the pool, when he went to the spa. And then when it evening time, she'd pull the "I'm on the rag" excuse, and nothing else would happen.... fair enough to assume it was his fault in believing he'd have a 'free-use fuck-puppet' the whole time....but he learned his lesson.
Sparking Hills is an expensive place to begin with, so I'd hate to see a case where someone burns a few tens-of-thousands on an international flight, and getting screwed (in a bad way) too.
... I'm sure, it's possible if the client establishes a close constant relationship with a provider and trust that she'll fulfill her end of any arrangement once the boarding pass is in her hand; but you have to be a serious baller and double-down for that guarantee.... which, again, to me sounds too much like a pain in the ass to begin with... so stick to sex-touring and hire locals.