With Lizzie probably about to go to the Cajun town (if I understood right about the coffee producer at least), I decided to check when she was about to get there.
Took me a bit of digging (more than a bit in Lizzie and Rose's cases

), but I think the current times are:
Helena: 10/06 - ~09h
Echo: 11/06 - ~06h
Eva: 11/06 - ~06h
Cynthia: 12/06 - ~11h
Lizzie: 12/06 - ~21h
Spokane: 13/06 - ~13h
Rose: 16/06 - ~10h
Pure guess for Lizzie and Rose as far as the time is concerned, I didn't have much.
For Lizzie she wakes up at 18h35 the day before so I supposed it's the usual, hence the ~21h
For Rose, I don't have a time at all. I'm only guessing the Oyabun visits in the morning, but it could be noon or even later.