These would all grow well together, but once spring is gone, so will your flowers be (at least in my zone). Why not add some Stokesia, Asters, Mums, and maybe even a few Zinnias to boot. You'd still have all daisies, but your bloom season would extend into fall.

The Chicago Botanic Garden has a hot, dry bed in its English Wall Garden that's pretty much a daisy garden. In the spring, they plant in pretty blue felicia. In the summer there are various helianthis and rudbeckia in addition to some Shasta daisies. Later, there are asters and, lately, Montauk daisies. Montauk daisy is great--it has tons of clean, white, daisy flowers very, very late in the year. I think it very much wants good drainage though. I grow it at home, and it's one of my favorites.

You've been given some very good suggestions, but I did want to comment on the bloom time of the coreopsis and echinaceas. Donnabaskets is in zone 7, here in zone 5, those are not spring bloomers. Mine start in late June, and with occasional deadheading, bloom all the way until September.

For fall blooms, the asters and mums would definitely fit in nicely. There are some daisy type mums like 'Rhumba' or 'Clara Curtis' or 'Sheffield' that would give you daisies right up until the first frost.

Bonnie

You could also do the painted daisies for more color. Also a helianthus would look nice, salvia, cosmos, liatrus. That would give you some other shapes and a nice addition. Good luck.