There are exceptions - the Irish Coffee being the most notable - but hot alcoholic drinks are rare. It's worth remembering that they existed before iced cocktails, given the difficulty of obtaining a consistent supply ice in the era before refrigeration. One of the most popular concoctions of the North American colonists was flip, which was "mixed with a device called a loggerhead..."
"- a narrow piece of iron about three feet long with a slightly bulbous head the size of a small onion. It was originally created for heating tar or pitch, with the bulb buried in the glowing coals until it blazed red-hot, then quickly withdrawn and plunged into the pitch to make it pliable. The instrument served a similar heating function when plunged red-hot into a beer-rum-and-molasses concoctions. The whole mess would foam and hiss and send up a mighty head."
Wayne Curtis, And a Bottle of Rum, p. 83
As I'm lacking in both an open fire and a loggerhead, I'd have to go for less dramatic means of heating my drink. In time, I'd also opt to steer clear of coffee and dairy. Fernet Branca and cloves were chosen as complementary flavours on top of a whisky base, the Glenrothes Select Reserve in this case. As for the orgeat, it really does work in this drink. Sometimes, taking things out of context is the only way to go.