Transfast will not let you send $5K at first. They will allow you to send $1.5K at first and will take 1 week to transfer. Also, I think they have certain threshold of how much money you can send in a month.
I will use Moneygram and send $2.5k at a time. It will cost you $18 and you can find it easily in any walmart. You will get slightly lower rate than transfast but it is less hectic.