When my girls were younger, we also used a Pelham (type of snaffle) which has 3 different ways to attach the reins, depending on the leverage you want the rider to have and a curb chain. As my girls got older and better at "catching" the pony before the head went down and keeping him going, we were able to reduce the leverage. You can also teach her how to brace her reins across the withers so the pony is pulling on herself instead of your daughter. Grass reins are great though! Kind of funny to watch the pony the first couple times they try to graze and can't....... Goodluck!