I like to play around 3 PM, when the sun is up and bright :] I also really like the nights, mainly due to the really soothing music, and that chance to see a shooting star.
i like playing during the afternoon and night, when everything is open and i can catch bugs from the island. nighttime is really cool too, 'specially because of the 9pm music. probably my fav track
I love 2 am. If I'm on the island hunting, I'll go home just so I can spend an hour cleaning up and setting paths or clearing for planting the next day.