I don't understand your responses here: this is a western charity putting in 10 million USD and soliciting (and not exclusively soliciting in the target country, which hasn't even been identified) another 20 million USD for the effort. Where do you get the idea that the donations would "likely be in local currency"?
I don't know, but I've been watching GiveDirectly for a while and assume they'll handle this similarly to how they have before. This basic income experiment looks like a minor variation on what they already do.
Okay, I think the miscommunication is on the word "donation"; you're referring to the payments to beneficiaries it sounds like, I took "donations" as the money going in to GiveDirectly.