What sort of safety issue are you talking about when it comes to sending money via moneygram? It'll cost you $11 to send $500. Most banks have a daily cap of certain amount ($400 for me for both Chase and BOA) as far as withdrawals are concerned. So if someone tried to withdraw $500, it'd either need to be done on different dates.

But withdrawing money via atms will pretty much guarantee that they'll get money based on that very day's exchange rates, unlike moneygram, that typically 'charges' 1 rupees/dollar.