This isn't much of a design, just a cylinder with no top layers and zero infill, but I decided to post it anyway so maybe it'll give somebody ideas. I “designed” this in PrusaSlicer - just loaded a cylinder shape, sized it appropriately, then set infill percentage to 0 and top layers to 0. It is not vase mode - I used 3 bottom layers and 4 perimeters to give it some rigidity. Probably should have used a few more bottom layers - this thing actually would make a good drum for a child to thump on.
I'm including the 3mf file so you can download my settings, but unless you have an Ender-3 Pro running Klipper firmware, you won't want to use it as is.
Printed at 0.2mm layer height, 0% infill, 4 perimeters, 3 bottom layers, 0 top layers, no brim, no supports, using Printed Solid's Gunmetal Gray Jesse PLA.