I think you can accomplish a lot of what you’re looking for with an Everbank foreign currency CD. They are a US-based bank that offers CDs that are indexed in single foreign currencies, and also “baskets” of currencies.
For example, their Indian Rupee CD is paying 6.5%
The deposits themselves are FDIC insured, but not against currency fluctuations. But this seems better than actually sending your money abroad, you’ll get proper income reporting, you can get your money back in a hurry if you need to, and so on.
I don’t currently hold any of these CDs but did quite well on the Euro CD during the big dollar slide about 10 years ago.