Plants to out compete weeds

So I'm reading through this month's Seed Club page and read the suggestion...
"Turn your driveway into a mini gravel garden by sprinkling a little compost then sowing drought-tolerant annuals like love-in-a-mist (Nigella) and calendula in patches among the gravel. They relish the dry, sunny conditions – and look gorgeous, too."
and this set me thinking, would these flowers be just as at home if I sowed them in the courses between the paving stones of my driveway, hopefully out competing the weeds?
There is a line of weeds that grow down either side of my driveway where the car doesn't disturb them and I am sick to the back teeth of pulling, cutting, chopping and boiling them just to have them reappear a week later. Could the above idea work, or if not with the suggested flowers, what others, maybe some kind of ground covering plant/flower, that could push aside the weeds and replace them with something pleasant to look at?
Any ideas would be much appreciated.
Posts
Harebells grow between the stones on a friend's patio and Salvia sylvestris on mine
In the sticks near Peterborough
Creeping thyme creeps and flowers too.
If you live in Derbyshire, as I do.
Thanks for all the suggestions, guys. Time to do some studying and see which one to try.
Thanks for the suggestion, Tetley. I'll certainly keep it in mind but I'd just ordered a couple of packets of Creeping thyme seeds just minutes before seeing your post so I'll give those a try fist and see what happens.