Whisk the coconut cream, oat milk, brown sugar, cornstarch, cinnamon, and sea salt in a saucepan until smooth.
Cook the base over medium heat for 5 to 7 minutes, whisking constantly, until lightly thickened. Stir in the vanilla extract and refrigerate the base for at least 4 hours.
Toss the chopped dairy free cinnamon rolls with melted dairy free butter, brown sugar, and cinnamon.
Bake the cinnamon roll pieces at 350 F for 8 minutes, then cool completely so they stay chewy in the ice cream.
Beat the dairy free cream cheese, powdered sugar, oat milk, and vanilla extract until smooth. Refrigerate the glaze until ready to use.
Churn the cold ice cream base in an ice cream maker until thick and creamy.
Layer the ice cream with cinnamon roll pieces and cream cheese glaze in a freezer-safe container.
Swirl the layers gently, cover with parchment paper, and freeze for 4 hours before scooping.