The front of the carriage house faces East, so it misses the hot afternoon sun. What plants are happy with just morning sun? European honeysuckle for one.
It will grow to twenty feet, handles shade or sun... (thank you Clematis.Com for the pic)  
...and has a huge and showy crop of fragrant trumpets.

Thank you Luc Viator for the sparkling pic. It twines, so needs something to climb on. Simple & sturdy is best because the vine will quickly hide the structure under a thick canopy of foliage. i
I fixed a pair of thick rebars to the fascia (the underside of a roof's overhang), anchoring them informally in the ground. Then I wired cross pieces every three feet up, making a huge honeysuckle-friendly ladder. In three or four years, I bet the honeysuckle will have gotten right to the top.
Oh yes: That's not a gravestone at the bottom. When we bought our property, we found this monument (it has a bronze plaque of the prior house-owners, back to the 18th C) leaning against, almost into the wall of the living room. Here by the carriage house it's a bit (but just) more stable.