Made a vijeo of backflow incense.  It seems the clay doesn't dry at all unless it's taken out of the mold.  The mold needs to have flanges to grab on to.  It needs panels which don't require a sheering force to take off.  The holes should be formed from metal rods. 

https://www.susiebenes.com/blogs/airdryclayart

There's some rare info about air dried clay.  The deal breaker is it burns.  It'll eventually erode & die.  There's also epoxy & polymer clay, for a price.  Considering that the design has evolved to a self contained stand inside a starship enclosure, an old fashioned metal plate creation is a better match than all this new fangled 3D printed molding.

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The real problem is the starship base has to be real wide if it isn't to melt.  That makes it really tall & full of empty space, not a very functional model.  Maybe some animals enjoy just having non functional starship models.  A cardboard spacer for the base seems essential.

Some bits of metal came along.

Aluminum could be pressed into a bowl with some PLA forms & pliers. The forms had to be exaggerated.

That worked nicely. The legs dissipate most of the heat. There could be a clay base for the metal & rocket to plug into. It should be heat resistant enough to withstand the oil & the legs but it wouldn't be washable. The mane problem is the incense goes out if it's enclosed. It doesn't react well to an updraft.

Could imagine a rod locking the legs into a base since the metal won't be separating from the base.  PETG might be good enough.