There is some information out there on the specifically marketed as 'summer blooming' daffs... "Summer Cheer", etc., but no mention at all that you can count on a June/July bloom year after year. My suspicion is that they might revert and bloom in the spring although I have nothing to back that up. In looking around at the various mail order companies, the price seems to be about $3 per bulb. I know here in my zone 4, if I planted any of the usual daffodil bulbs in the spring, they might develop some short foliage over the course of the first summer but wouldn't bloom. They'd fall back into the usual pattern and bloom the following spring. And with the weather here, usually with late springs, I've had ordinary daffs start to bloom the end of May and on in to June anyway.

You didn't indicate what summer bulbs you were interested in. There are bargains in bulbs now because it's getting a little late to be just getting started with them. True lilies - Oriental, Asiatic, etc. can be put in the ground but it's very unlikely they'll do anything but put up a short stalk this year. Gladiolas might manage to bloom sometime in September, etc. etc. and would have to be dug up and stored since they are not likely to survive the winter in zone 5. And to me, the problem with a succession of bulbs is that each type seems to have ratty foliage to hide when the blooming stops. I think you'd be happier investigating other annuals or perennials to plant in your bed to hide the daffodil foliage - as mentioned daylilies are a possibility, but they like as much sun as they can get. True lilies like sun and will lean to get it. Daffodils are generally at least 6" down and many things can be planted over and among them without disturbing them at all. And by the time the daffs are finished blooming, the annuals and perennials would be taking off to hide them. There's a goodly number of things that do well with your sun/shade conditions - hostas, ferns, astilbe, bleeding heart for perennials, impatiens and begonias for annuals, just to mention a few. Check out a good garden center and ask for recommendations. Or head over to the nearest Big Box and buy some bargain annuals to experiement with sizes, colors and textures. Experimentation, trial and error is how most of us who garden got to be where we are.

I know you may not have any left now, but if you are interested I have lots of paper whites in my horse pasture. They are blooming now in sunny locations and not yet in bloom in slightly shadier. They bloom later than all of the rest of my narcissus. I'm always looking for flowering bulbs and tubers I don't already have that suit my zone and soil. I really need to make a wanted and trade list!

White (or very light colored) flowered plants often become discolored. It may be due to age or weather or even just irrigation water hitting the blossoms but it is of no concern to the plant and nothing you need to treat for. Nature is seldom pristine in her presentations and we need to learn to tolerate these minor digressions :-))