Use trellises to support the vines. For a truly unusual vine, grow the Gloriosa, a climbing lily with interesting tendril-like leaf tips. Its flowers are red-orange and exotically shaped. Occasionally you can find tubers of this plant in the garden centers. Otherwise, you'll have to search through the mail order catalogs.
Palm trees are always an elegant feature in a solarium, giving it a jungle effect.
You may even consider adding an aquatic garden in the form of an oak barrel with a submerged pump to create a water fall or a small fountain. Wonderful aquatic plants are the papyrus, horsetail and, of course, water lilies. Include ferns, as they will love the humidity, but keep them out of direct sun. A ceiling fan will provide you with some welcome breezes in the hot summer months and circulate the air for your plants' benefit as well as yours.