Rinse and drain dried jamaica flowers in a large colander. Bring water to a boil in a large pot. Add flowers and mint (if using), and cover with a lid. Remove from heat and steep for 20 minutes.
Strain jamaica water into a pitcher and discard flowers. Add honey and stir. Taste tea, and add more honey or dilute with water to your liking; just keep in mind that some flavor will be lost as the paletas freeze. Refrigerate until cold.
Push 4–5 mint leaves (if using) to the bottom of Popsicle molds and fill with jamaica tea. Snap on lids, insert Popsicle sticks, and freeze until solid, for 6 hours or overnight.