Cover each ramekin with a swatch of paper towel large enough to completely cover the top and drape over the sides. Tightly cover the paper towel and cobbler with foil, crimping it to match the contours of the ramekins. Repeat with another piece of foil.
Create a foil sling for removing the individual ramekins from the Instant Pot after the cooking is completed. To do this, fold a sheet of foil in half lengthwise, and then in half again, lengthwise. If you using a large single baking dish, simply fold the foil into thirds.
Pour 1 cup of water into the bottom of the inner pot of the Instant Pot. Place the trivet with long handles into the inner pot, and arrange the ramekins on top of the trivet. The ramekins should be completely level on the trivet, and should not touch the walls of the inner pot of the electric pressure cooker. My 6-quart Instant Pot can accommodate 4 8-ounce ramekins pictured in the body of this post.
Plug in the Instant Pot, place the lid on top and seal. Using the manual mode, cook on high pressure for 20 minutes, and use a slow release for 10 minutes.
Unplug the Instant Pot, unseal and remove the top, and lift out the ramekins using the foil slings. Remove the trivet, pour out the water, and replace the trivet into the inner pot.
Remove the foil from the ramekins and carefully peel away the paper towel. If some of the cobbler topping sticks to the paper towel, simple scrape it off and place it on top of the cobbler. Cobblers are meant to be rustic, after all. Sprinkle the turbinado sugar over the two cobblers, and replace on the trivet. Because my ramekins are high, I used the trivet that came with my Instant Pot.
Place the CrispLid on top of your electric pressure cooker, plug it in, and snap down the handle. Select 375˚F for 7 minutes, and push the arrow signaling it to start. Since I'm cooking and baking at 7100 feet, you may want to check it after 5 minutes.
Remove the CrispLid and set aside. Remove the ramekins and allow to cool for 10 minutes before serving. I highly recommend a scoop of vanilla ice cream on top when served.