If I pay the premiums using a reward based credit card, I would be personally profiting from the transaction. Given that if (and this is not a price prediction) we hit a valuation of 3 cents, the Orphan Fund would be bringing in about $200,000 a month, this could end up being a very significant amount. To avoid appearances of, or possibilities of, wrong doing, having the non-profit Foundation handle the transaction from start to finish would be best.
For example, if you paid $28,000 with an American Express, that'd give you $280 if you get 1% cash back. That'd likely be used to "tip" and sponsor a few more children, but its just better to have a non-profit Foundation to avoid any questions.