OP wrote that "Translator positions ask for native Mandarin and good English, not the other way around." Do you have specific opportunities in mind where that wouldn't be the case?
I don't know about Mandarin, but I know that this is also true of Japanese translation, but not Japanese technical translation. There is a fair amount of work for technical people who are native English speakers because the work is from Japanese to English. I'd be surprised if there wasn't contract work for translating documents for Chinese companies.
I would guess that there are translation agencies in China that specifically hire native English speakers. Maybe ask around in online expat communities?
Dnh44 and mikechar, thank you both for responding. I've looked for Chinese->English contract positions and found little, but Dnh44's suggestion prompted me to think perhaps I hadn't looked in the right places. I'll reach out to my connections in China scholarship one more time.