"design shows" is correct and usable in written English.
You could use it to discuss a type of event that showcases the work of designers. For example, "The fashion design shows in Milan are always spectacular."
"They're mobbed whenever they're exhibited at design shows".
But the design shows a callous disregard for architectural history.
The London design shows last month were heavy on talent, as usual.
Unfortunately, Mitfordiana can easily slide into camp, as the book's design shows.
Merle Hensel's design shows a parched, unchanging Californian landscape with a phallic cactus.
It is also among the most eagerly anticipated design shows of the summer.
It's a shame that there weren't reality design shows in Ruby's day.
Why do you think there are so many home and design shows now?
For one, an artist's design shows a brown bear, not a black one.
His preliminary design shows a plain, straightforward building with three windows across and a recessed porch on the top floor.
Such bravura design shows that radical work has continued to emerge from the time of the Russian revolution.
