Put collectively the peaches: Halve and pit the peaches, then reduce the halves into 1/2-to-3/4-inch-thick wedges. Toss them in a giant bowl with the lemon juice, and put aside when you make the salted caramel.
Make the caramel: In a 4-quart ovenproof deep skillet (I’m utilizing my braiser)* stir collectively the sugar and water. Flip the warmth to medium-high and put collectively dinner dinner, with out stirring, till the underside is evenly effervescent all by way of and in addition to you start to see golden and medium-brown spots all via the bubbling sugar, about 5 minutes. Fastidiously (it’s going to sizzle dramatically) whisk all via the butter and proceed to rearrange dinner dinner till the sauce takes on an excellent medium-brown or copper shade, about 2 to 4 minutes. Add the cream a splash at a time, whisking always, till it’s evenly combined, and put collectively dinner dinner for an extra 3 to 4 minutes. Add flaky salt and stir to mix.
Take away from the warmth merely extended sufficient to fastidiously ladle 2/3 cup of the sauce fastidiously acceptable right correct proper right into a spouted dish or bowl for later, and set that portion apart.
Parcook the peaches: Return the pan to the differ over medium warmth, and add the peaches to the remaining caramel all via the pan. The coolness of the peaches will set off the caramel sauce to grab up solely a bit, nonetheless don’t fret. Merely let the peaches and caramel heat up and the sauce will loosen. Put collectively dinner dinner peaches and caramel collectively, stirring steadily, till the peaches have softened barely, about 5 minutes. Stir all via the cornstarch or tapioca flour till it disappears.
Make the crisp topping: Combine all the topping substances in a giant bowl till the butter is evenly dispersed and the combination is rubbly. Sprinkle the topping over the peaches, then change pan to the oven and bake till the peaches are tender, their juices visibly effervescent all via the crisp topping, and the topping is a light-weight, nutty brown, about 20 minutes. Let it cool for 10 minutes, when you’ll bear it, ahead of serving.
To serve: Scoop the crisp into bowls and extreme with ice cream and a drizzle of the reserved caramel sauce. In case your caramel sauce has cooled and firmed up, you presumably can heat it up shortly all via the microwave — attempt each 10 seconds, on account of it warms and bubbles up shortly — or in a small saucepan on the differ.
Do forward: Leftover crisp ought to shield all via the fridge for 5-6 days, nonetheless it is perhaps unprecedented. Leftover caramel sauce will shield for 2 weeks.
* In case you happen to don’t have a pan that goes from differ to oven, merely use a giant, deep skillet for the caramel and parcooking the peaches, and alter the peaches and sauce to a 4-quart or 9×13-inch baking dish pan for the baking portion, sprinkling the topping on merely ahead of it goes all via the oven.