As a couple, Trsteno Arboretum Day Trip works.
A shaded, fragrant Renaissance garden running down to the sea, blissfully calm and a real respite from stone and crowds — fans will also recognise the King's Landing garden scenes. The honest catch is it's a 30-minute drive or bus each way for a fairly small site, so it suits garden-lovers and GoT fans more than a tight itinerary. Lovely and quiet when you get there.