Line cookie sheet with parchment paper. Place apples on a firm surface, and carefully skewer with the popsicle sticks. Arrange apples on parchment lined sheet.
Now, make the caramel. Add all honey, maple syrup, coconut oil, and water to the top of a double boiler. Bring to a simmer over medium-low heat.
Continue to simmer, stirring frequently. As the mixture cooks, you'll notice that it first darkens in color, and begins to “pull away” from the sides of the pan. You will
likely see an increase in the volume of bubbling right before this point. Soon after, the caramel will start to lighten in color a bit, and that's when you're going to want to pay very close attention - it means you're really just about done. Cooking the caramel takes some time - usually at least 20 minutes. Caramel can be cooked more quickly in a saucepan directly on a burner, but it's a bit easier to burn it, so I suggest using the double boiler.
Heat the caramel till it reaches 245 degrees on a candy thermometer. You can also check for done-ness using the "cold water test": using a spoon, pour a drop of the mixture into a glass of cold water. Mixture should form a ball that stays together, but is still pliable. (We're going for just past the "soft ball" stage.) If mixture strings out in the water rather than forming a ball, cook for a minute or two longer and try again.
Remove caramel from the heat, and let it rest for a few minutes. It's easiest to work with when it's begun to cool just slightly.
Either dip the apples into the caramel, and return to the parchment-lined sheet to firm up, or spoon the caramel over the apples right on the cookie sheet. Both ways work just fine.
If you'd like to garnish your apples with some finely-ground nuts or coconut, now is the time to do it.
For best results, let apples cool undisturbed at room temperature for about 30 minutes.
Store apples not eaten within a few hours in the refrigerator. They're best enjoyed right away, since the apples will begin to soften a bit, but can be refrigerated for a day or two without much loss of quality.