A month ago I transitioned my 5yr from a snaffle to a Tom Balding "Doublecross". It has a couple copper rings similar to a cricket.
Pretty mild and has good control.
Although the bit might not work for you I really like copper rings (cricket) on the bit. Sure seems like they like that.
At this point, as she progresses, I think I will stay with a "cricket" on the future bits also.
Although that might not be allowed when you compete.
Mine worked fine in the snaffle, but I am able to be so much lighter with the doublecross and get much more refinement.