Villa Siciliana Taormina
A lit jacuzzi under an ancient olive tree, in your own walled garden in Taormina. Quiet is the word.
Settle into the water after dark and the garden does something rather lovely. The jacuzzi sits on a private terrace, its blue underwater lights picking out the bark of an old olive tree that leans overhead, with a low stone wall closing everything off from the world. There's nowhere to be, and nobody can see you. That's the whole point.
The Villa with Jacuzzi and Private Garden at Villa Siciliana Taormina is about as close as you'll get to a hotel with a private in-room jacuzzi in Taormina, short of actually having four walls around it. The garden setting is genuinely secluded, lit by candles and lanterns at dusk, and the terracotta tiles underfoot give it a properly Sicilian feel. Guests rate it 9.9 out of 10, which tells you something.
One honest note: the jacuzzi is garden-level rather than on a high balcony, so there's no sea view from the water. What you get instead is green, quiet, and old-growth olive. For most people, that's the better deal.