My family and I plan on traveling from Venice to Monterosso Al Mare and later Monterosso to Florence during the dates June 13-16 2023. Do you know when the schedule will be available?

The full schedule is out until end of February.

Beginning of December they just released most of their high speed Freccia routes until June 10th with the exception of some dates. Typically train tickets are released about 60-120 days prior to travel. Regional trains are released until end of April or so, with those being uploaded closer to travel dates. Summer schedule should be released about mid April.

Tickets are available a month ahead and should not be  problem