We have been struggling here in Southern Ontario with a similar heat wave. My early planted bush beans seem to be holding their own and making minor progress, but the later planted bush and pole beans seem to be in a bit of a stasis like yours. I think the intensity of the heat and the dry soil is leading to slower growth than normal in just about every plant in the garden except melons and corn. As for the carrots and radished, they will sprout in the warm weather as long as the soil is kept perpetually moist. Not sopping wet and not dry. That will be your major challenge. I plan on a combination of three times daily watering and shade cloth (just landscape fabric really) just above the beds. The real challenge will be the fall peas, beets and most of all, parsnips.

Ooooh, parsnips! I didn't even think of that! I love those things! Thanks for the advice. I'll have to figure some way of watering since I won't be home to water 3 times a day... but if it works, it's worth the try. Let me know if your beans pick up. We'll both pray for rain (we're supposed to get some today or tomorrow! WOOP, WOOP!!)