Uh, actually, I believe that's spelled wattle. But who cares, a picture is worth a thousand words.

With the pink azaleas, I'd probably pick a white rose. Since the fence is short, why not pick something like Bolero or Gruss an Aachen? A SdlM sport like Mme. Cornelissen or Kronprinzessin Viktoria von Preussen might be nice. If you just had several rose bushes standing in front it would save the tying up and pruning of long canes.

It is a truly beautiful fence. I am full of admiration.

I grow Buff Beauty trained exactly that way, and on a copper pipe fence of roughly that shape and size. It has one main bloom period, but has a scattered repeat in my climate. The repeat seems to be getting a bit better as the rose matures.

Rosefolly

How do Hybrid Musks do in your area? Most have flexible canes, they rebloom, are fragrant, and don't get as big as full-blown climbers. Also they take part shade. There are several good ones, most of them in pale colors. If you like a white, 'Pax' is a beautiful rose.
Very nice back yard; my compliments.
Melissa

I'm with Melissa. Buff Beauty is a hybrid musk, one that is happy to grow in a horizontal direction.

Rosefolly

Nice fence.

I was thinking of a hybrid musk, too, when I read your question. Perhaps Penelope, which will also give you the bonus of beautiful hips for another season of interest? (There are some photos of just the hips at link below if you scroll through pics...for me they are kind of orange-pink which doesn't really show in these photos.)

I agree that a lighter colored bloom would set off your fence very nicely. I think the color/form of Penelope would be a nice contrast with the other roses you have. (It usually reads like a white in the landscape in warm weather/sun, but here in cooler shady conditions I see a lot of the pink tones.)

Buff Beauty is a great suggestion for an alternative to Crepuscule. While my eye prefers the bloom form of Buff Beauty, my nose prefers the fragrance of Penelope, plus she has the great hips.

3 1/2 feet is not that tall, really, so I think your instinct is right to look for something smaller than Crepuscule or the good Madame.

I'm also very impressed by your fence!

Here is a link that might be useful: Penelope at helpmefind roses

You did such a wonderful job and the fence is so lovely I'm not sure I'd want to cover it with a rose! Besides I don't know how sturdy it is and roses are very heavy. Will the fence be able to hold up under a large rose?

Sorry I couldn't repost, my computer crashed within an hour of posting this (I'm on a friend's computer).
Sorry about the spelling also, I was never a good at spelling but that is pathetic (I just read the caption in Passion for Roses by Peater Beales where there was a Madame Hardy planted on a wattle fence before I posted this, which is my inspiration).
It's even more beautiful in person, the picture is terrible and does not do it justice.

To answer Ingrid, Bolero is very promising! I love the simplicity of that semi double flower that I was completely overlooking. Gruss an Aachen seems like a very nice rose and I can visualize it on that fence. Mme. Cornelissen is too susceptible to black spot.
Kronprinzessin Viktoria von Preussen is very much like a rose that I want on that fence, I've never heard of that rose before.

Rosefolly, I have been debating weather to plant buff beauty there, because it would get hot, full sun where the booms will fade (which I love), but I heard somewhere that the disease susceptibility could be better and I don't know how big it gets...

Melissa, I have a Paul's Himalayan Musk Climber in my yard and it drops all its leaves with black spot every summer. It's a show stopper, and grows like there is no tomorrow, but bs really affects it (I wonder if its just Paul's Himalayan Musk). Not 20 feet away I have a lady banks in bloom, although it is small (for a lady banks that is).

Littlesmokie, Penelope is very pretty, and the thought of hips hanging off that fence is really growing on me. I like buff beauty much more than Crepuscule.

Seil, the fence is extremely sturdy. I was very surprised, when I got finished with it because I could stand on the top of it, rock back and forth and there was no movement. There is something about weaving the wood in between those thick stakes that makes it so strong. In the medieval times people would build their homes out of wattle and mud with thatch roofs.

Thank you for all the complements! It's very exciting to get so many. It really wasn't that much work, but I have done this four times before (The first couple of times the stakes would bend and the fence would end up being straight sticks held horizontally by multiple stakes). It takes a little bit of practice to get the hang of it and make sure there isn't too much pressure on one side of the stakes, or fence, than the other. I can write a how to with pictures if enough people ask.
-Jason