Here's an idea. A pie in the sky idea! What is SpaceX's starship good for? Well, what does space have? Solar power in gobs. A lot of the economic barriers for space based stuff is just moving stuff around and getting it back to earth. Well, for computation you don't have to do that. You just beam the answers back. Starlink has the networking substrate already. With the end of exponential churn in hardware, soon orbit…
I guess you can use pools of onboard liquid as heat sinks if the radiative surface is insufficient at peak, and then radiate the rest from the heat sink pool when it is, say, behind the earth or not working as hard.