No ice cream cakes for birthdays. Too expensive and usually don't come in the flavors I would like. Small family and they don't seem to do birthdays well, my brother can't share in the goodies, so they are usually forgone.
One of my senior bus friends(?) said she wasn't going to make me a cake (July birthday) because it was too hot to put the oven on. I agree. She also doesn't have air conditioning or use a fan. Her house chickens and dog suffer plenty .
In the freezer section here they have this thing caled Edwards Pie it is a thaw and serve pie but at my house for birthdays we serve them FROZEN they have key lime hersheys cookies and cream and reeses.
they are better frozen if you thaw them they are yuckie! IMO
or buy a pound cake cut in half top and bottom not side to side. use the square Ice cream box open it all the way and cut even slices of ice cream put on the bottom half of the pound cake then put top on frost with whip cream and freeze solid again. Serve frozen