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1
Place the banana rounds on a freezer-safe dish or tray (lined with parchment if you have some) and freeze until solid, about a couple of hours.
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2
In the bowl of a food processor fitted with the chopping blade, drop in the banana slices. Puree the bananas until smooth, scraping down the sides of the bowl frequently. It will take a few minutes, but eventually, you'll have a smooth mixture. Add the peanut butter, cardamom and bourbon, and pulse until incorporated and smooth, scraping down the sides of the bowl now and again. Transfer mixture to a freezer-safe container and stash in the freezer until solid.
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3
Remove from freezer about 15 minutes before serving to soften the ice cream.
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4
Melt 3 tablespoons of butter in a small saucepan over medium-low heat.
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5
Whisk in the sugar, cream and salt. Bring the mixture to a gentle boil, whisking occasionally. Continue whisking for about 5 minutes, until sugar dissolves.
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6
Remove from heat and stir in 1 tablespoon of butter. (You can totally throw this tablespoon of butter in at the beginning, but I like the way the butter melts and emulsifies in the hot sauce.) Stir in the bourbon. Sauce will continue to thicken as it cools.
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7
Scoop ice cream into bowls. If desired, scatter a few salted peanuts and slices of fresh banana on top. Spoon the caramel sauce over the whole shebang. A few flakes of sea salt are nice, too.