If I were tasked with mining from space, I'd just launch a satellite that was full of miners, could connect directly to the internet, and had enough solar panels to run it. The equipment should stay pretty cool up there.

I'm pretty sure it wouldn't be profitable, otherwise someone would have done it already. I don't have an exact number for how much it would cost, but considering a satellite costs a few million, to billions of dollars, it would be expensive. Even at a modest 100 million dollars you'd have to mine approximately 268 blocks to break even.

I'm not sure of the tax implications of mining in space either.