Switching time zone advice

We are traveling by car two time zones away and hoped to keep our LO on our home time zone. He normally sleeps 7pm til 6:30 am but woke up today at 6:30 on our new time zone (5:30 at home). He has blackout shades, but still lost an hour. Do we keep trying to push our home schedule or let him adjust to the current time zone? I will say he's never been a good sleeper and his car naps have been crap so he could be affected by that too. Would love your advice!