Filling: Pour ¾ cup whipping cream, sugar and egg yolks into a pot and whisk over medium heat until it reaches pudding consistency, about 10 minutes. If lumps form, strain the mixture. Pour into a large bowl and add the pumpkin, rum, vanilla extract, cinnamon, ginger, nutmeg, salt and allspice. Refrigerate until cold, stirring occasionally. Beat the remaining 1 ¼ cups whipping cream to stiff peaks. Reserve ½ cup for topping and add the remaining cream to the filling, gently folding to combine. Pour into the pie plate and smooth the surface. Place in the freezer until firm, about 1-2 hours.