Thanks for your reply even though it was an old thread.
I have successfully sent money using routing numbers, but in our current country & bank the online banking system doesn’t have a space for routing number and I don’t trust it to go through properly with anything nonstandard (according to their system) and neither does the bank manager!
I opened an account online with Schwab but didn’t figure out how to send money to it… possibly I searched for the wrong terms as you’ve suggested. I was able to open an account with US Bank while in state, and it’s been working well.