OK, obvious stuff first - soil weighs a LOT. Planters, even fibre glass ones, add to that. And a mature plant can add kilos more. Make sure that your roof is capable of taking the weight of a large bed. The very last thing you want is for your lovely roof flowers to end up in your downstairs kitchen because the structure has given way!! I am currently having a structural engineering nightmare with specifications for a green roof on the basis of weights, snow loading etc. etc. etc.
I wonder if you'd be better off with a climber that then has 'falls' - the obvious thing would be something like wisteria, which you can grow up from the ground to whatever height you want, and then encourage to bloom with those downward cascades of beautiful scented flowers. You get verticality with this, without the weight, and the roots would still be in the soil, saving you the bother of watering etc.
You could still put something on your roof that would trail down, but you could make this lighter. A fibreglass trough with some of the light rock they use on green roofs, combined with a bit of soil, would allow you to grow some trailing alpines. (You still might need to check out weights though)
The perennial sweet pea is a slightly different beast from the annual one - it's not as scented and is a bit of a scrambling thuggish thing. It does like a bit of a root run, however, so I wonder how happy it would be in a pot - I've never tried it, and I suspect it might suffer a little? I think you'd need something else with it to give you more year-round interest.