In theory--and only in theory--a "lighter than air" system would be able to rise to cooler altitudes like you suggest, and dump heat, maybe from some material that absorbs a lot of heat in melting, then drop back down again for short times.

Or a "cloud car" with a few heat-proof instruments could drop to the ground for short times while the "blimp" hovers overhead.

There are so many issues to work out I wouldn't know where to start. It's a LONG way from the surface to the cooler levels. Winds would screw everything up.

But a blimp that could dive for short times to the ground would not have the thermal issues that something sitting on the ground for a month would have.

My personal thinking is that you need electronic, power, and mechanical systems that are nice and happy at the melting point of lead. This is not a trivial problem, but solving it could result in electronics that would have a significant impact on other applications.

A computer that doesn't need a fan, for starters, and doubles as a waffle iron.