Heat in electronics comes from two sources: friction and resistance. Neither should be a major factor in your CPAP.
You can put the humidifier chamber, partly filled with water in the freezer. Do not overfill or it may crack as ice expands. Put the humidifier chamber in the machine, and it should keep the air fairly cool for several hours without humidifier heat or hose heat.
Well, no engine can run at 100% efficiency so there *must* be some heat coming from the blower since wasted energy is always ends up as heat. I doubt, though, that the heat from a small electric motor and fan would be enough to notice at the other end of the hose, though it would likely be measurable. We can easily measure things that our body/minds can't perceive.
The above is my opinion. It is just possible that I may, occasionally, be mistaken.
I am neither a Doctor, nor any other kind of medical professional.
Everything put together sooner or later falls apart.