That's a great combo! The sun doesn't usually get too hot yet while the Astilbe are blooming. I do deadhead though as I'm not so fond of "ecru" flower heads.
I do think the Flash series are a little more sensitive, maybe because they have smaller leaves? I have other groups of Astilbes planted in the middle of garden beds with other perennials growing in front of them - smaller hostas, "hak" grass, etc so that might be a way to camouflage any browning foliage.