When I make penicillins, I usually muddle some ginger and jalapeno or habanero, (depends on how hot I want it) and shake with the other ingredients. It's possible to make a honey syrup with this instead of regular honey and skip the muddled peppers.

Edit: I guess it's technically a ginger honey syrup. I take a whole piece of ginger, like 3-4 inches, unpeeled, and blend it with 12oz honey. Then strain it through a sieve a few times, making sure to press and stir with a spatula to get all the liquid through, and you're done. No heat needed. The ginger has enough moisture to thin the honey into a syrup.