Google in Bignonia capreolata, and, if possible, click on images. I can see dozens of photos, after I do that.

Confederate jasmine would look nice. I would add some moon flower to climb the jasmine for night blooms as well. They'll bloom pretty all summer into fall. Moon flower are annual but easy to grow from seed.

beautiful deck!!

I would plant in the ground as it's just easier, and there are a number of vines that will get tall enough to climb to the top of and over your pergola. Managing plants in pots is more challenging than planting in the ground. Regardless of what you plant, you will want to provide wires or wire mesh or pegs for the vines to climb up your verticals since most vines twine and can't grip something as large as your posts, and this would apply to all the vines I am suggesting.

Check out the native trumpet honeysuckle, Lonicera sempervirens, particularly the cultivar 'Major Wheeler'. It would be at least semi-evergreen in your area, and in my garden has a massive flush of bloom in late May-June, but then it continues to flower throughout the summer on any new growth right up until hard freeze. Unfortunately, no scent, but the hummingbirds love it. Regardless of what you plant, you will want to provide wires or wire mesh or pegs for the vines to climb up your verticals since most vines twine and can't grip something as large as your posts.

Wisteria is stunning when it is blooming and the Asian types are nicely scented, but requires vigilant pruning and can send up vigorous suckers and seed-grown plants quite a distance from the mother plant. Many folks find it difficult to control. It blooms for just a few weeks in spring.

I am partial to Clematis, though they mostly aren't scented. You would need to choose varieties that grow to several meters such as Betty Corning or many of the other viticella hybrids. Pruning is easy for the viticella hybrids - just chop them off to a couple of sets of buds per stem in early spring before they leaf out, and they will have grown tall again within just a few weeks.

It looks like that will be a very nice deck and pergola. Clematises would be high on my list of choices for the pergola. The Betty Corning NHBabs suggested is a lovely, vigorous one. Huldine is another nice vigorous one - you don't have to just choose one. Several together can make a nice show. I tend not to cut my 'hard prune' ones down too low. I find they do fine - and bloom a bit earlier - if I only cut them down to 3-4' in the spring. So you can experiment to see what works best for you.

I grow both a Chinese and a Japanese wisteria. We love them BUT I'd never grow them on a pergola! I grow them both as 'trees' which makes them easier to prune and control. I am VERY careful to remove ALL seedpods (after the leaves drop in the fall and the pods are visible). Root suckers are removed by tearing them off (digging down if necessary...) Tearing them off has a chance of removing some of the bud wood, reducing the number of future root suckers from the same site on the root. In my experience, the Chinese one largely stopped producing root suckers after about 5 years of age, but the Japanese one is still producing lots at 10+ years. Stick with clematis unless you really like to spend a lot of time pruning etc.!

Thank you everyone for sharing your knowledge! My wife and I looked at all your recommendations. I can't remember what she ended up picking, so we'll need to look again. But I had no clue how beautiful vines are and how quickly you can have a mature landscape. I appreciate all your advice/opinions!