Thank you all for the nice feedback!
The shape of the fins is done using a lot of 1x2 plates and tiles. See the picture below on my prototype.
Each section is slightly shorter (1/8 stud) than the other so that a natural circle segment is shaped when each slot is connected to each other. After 8 plates in height, the difference in length is one stud. This shape is self-supporting and can carry the whole weight of the spaceship. But without the support from the surface, the legs would creep outwards after some time.
The only bricks that are slightly bent are the 2-wide and tall plates in the hull structure. But not more that they get flat again after disassembling. (Which I never will do, when would I ever need 3.000 red plates and tiles in any future project?)
The barrel itself is pretty sturdy with a 12-segment wheel in the middle and a ring using the small ball joints at each end. There are in total about 100 hinges or ball joints in the rocket itself.
The only inside interior is the hatch where Professor Calculus is standing.
Total height of the rocket is 105cm, this is not quite minifig scale, but close enough.
I'm also very happy about how Snowy came out. To bad that his helmet is orange, but he doesn't have any head inside...