Peel and slice the peaches into 1/2" wedges, place in a wide saucepan.
Add the plant-based butter to the saucepan and cook on medium heat until the butter has completely melted, about 2-3 minutes. Add the key lime juice.
Mix the Florida Crystals® Organic Raw Cane Sugar, Florida Crystals® Organic Light Brown Raw Cane Sugar, Florida Crystals® Organic Powdered Raw Cane Sugar, salt, and cinnamon and add to the peaches mix, allowing the sugar to dissolve.
Reduce heat to simmer and let the peaches mix cook until liquid has been reduced by half and is thick, about 15-20 minutes stirring occasionally.
Remove mix from the stove and let cool for about 10 minutes.
Process peaches mix with heavy cream until completely smooth.
Pour mix into popsicles molds and freeze for 6-12 hours.