Q. Can you suggest a blooming vine for full sun?
I am not sure how much space you have or if you have a trellis for a vine but, here are several ideas for sunny vine:
Wisteria--can be large. Needs something to twine onto
Rose--New Dawn is a pretty rose and needs a trellis
Gelsemium sempervirens 'Margarita' evergreen, less vigorour, need structure for vining. Pretty yellow flowers that are slightly fragrant. A well behaved vine! Make sure you get 'Margarita'.
Lonicera x heckrottii pretty Honeysuckle, not the invasive, vigorous type. Not fragrant but still pretty.