8am phone rush — has anyone genuinely solved this?

8am phone rush is still our biggest patient satisfaction issue despite moving 40% of appointments online. The same-day demand spike just migrates from phones to the online system — at 8am the online form queue is 300 patients deep within 10 minutes. We tried releasing appointments in smaller batches throughout the morning but patients complained loudly. Has anyone found a genuinely satisfying solution that patients accept? Or is this just the nature of demand in primary care now?