Athens Acropolis and Museum tour at 11:30 or 3:30 ?

[Moxiefurball]

On June 22 we will be disembarking from emerald princess and have hotel for 2 nights.

we can do an 11:30 tour of Acropolis and The new museum at 11:30 or do a 3:30 tour?

 

im thinking the 3:30 may be preferable since the museum is first and then the Acropolis which means later in day for Acropolis, perhaps less heat and less crowded.

any thoughts on which time you would recommend ?