11mos loves EMW

We are out of options of what to do. My baby just turned 11mos but his EMW have been going on since 9mos. He wake up anywhere between 5-6am usually just rolling around and content. He tries to put himself back down but rarely succeeds. We sometimes go in and pat his back if he is awake before 5:30, do this for 30 seconds and leave, rarely helps. So we wait to go in and feed until 6:30 to reinforce the ideal time.

He is a great napper and independent sleeper. He is currently on two-nap schedule. wake windows 3/3.75/3.75. His schedule (is he wakes at 6:30) is 9:30-10:45 nap 1, 2:30-3:45 nap 2, during 9mos we shifted from 2.5 hours to three to see if more sleep pressure would help. We've also worked on moving his bedtime to around 7:15 and he is constantly showing tired signs right before that so we haven't shifted his bedtime to later. We don't know what else to do. We would just love some predictability in the morning since we both work full time. He goes to daycare 2 out of the 5 days of the week and does not nap the best there. He is home or at grandmas other days of the week, so he is on his regular schedule 5 of the 7 days of the full week.

Anything I can be doing with wake windows or bed time?