You typed "SI joint," but I'm guessing you meant S1 joint, which is the joint between pelvis and spinal column. Am I right? If so, the problem is that on your road bikes you are not rotating your pelvis forward. That's what you need to do. Rotate it forward until instead of sitting on your ischial tuberosities, you are perching on your pubic ramus:
See:
Riding Position Discovery