Indeed. That would certainly be the first hurdle. I suppose it would have to be a highly entrusted member of the community - perhaps someone from the foundation.
Second, we would need to leverage a preexisting aid organization on the ground. Sure, they may be reluctant to accept small donations in BTC, but I can't imagine any aid organization would say "Sorry, we only accept Paypal" when you are offering them the equivalent of $1MM.
Perhaps Bitcoin is not yet at a point to be an effective/efficient means of transferring value to disaster-relief efforts, but the potential is there. If I go to Unicef right now and make a fiat donation, how long will it take for those funds to be extracted from my account and be available to purchase food/water? I don't know the answer, but I know with BTC it could be near instant.