Basil-Coconut-Lime Sorbet

A new installment in the sorbet chronicles. Was trying to make a quicker freezing one, so instead of heating the liquid to dissolve the sugar and waiting for that to cool I used powdered sugar. And then as I was making it I used a couple of lemons in pesto, so added lemon zest to the sorbet, and also basil -- it looked boring in it's just coconut milk and lime juice state. Oh, I used that crappy 'low-fat' coconut milk, which is really just coconut milk made from coconut flesh that has already been used once to make coconut milk. It isn't very exciting, but is fine for this use. Actually, this is probably the only use it is good for....
BCL sorbet:
Dissolve 1/2 lb powdered sugar into a can of coconut milk
add a little salt
add 3/4 c. fresh lime juice
add zest of some sort
freeze, stir, freeze, stir
add ~1T of lime vodka (basically limoncello before you add the sugar syrup)
add ~1c of basil leaves.
stickblender it.