I agree, I'd get something else and get her to rate back to you better.
Just see about going slow for now and fix that problem. Emphasize the rate. Run to the first barrel but then rate rate RATE back to a slow lope for the turn, maybe circle it a couple times, and finish close and make him add speed again between the first and second barrel. Also set him in the ground a couple times at your rate point, stop and back up in your tracks, then trot up and circle the barrel a couple times again.
Pssh.I didn't pick up the wrong lead
It's called a counter canter...
...A very advanced maneuver.