I hate reins with metal clips. Can you try a traditional rein set up, with leather or something that doesn’t “clink” on the bit rings?
I even lunge with my side reins backwards to avoid the “clinking”.
Speaking of side reins, can you give that a try? I cannot stress enough that they need to be super loose for the time being, until she settles. I’d only want them to come into effect when she gets her head up super high. Or maybe a loosely fitted chambon?