You state "computer" and not laptop, I believe anyone would assume this to be a desktop or tower PC. This is important because you may have some issues if you were to tote a portable item from a cool environment to a humid one.
That being said, a PC that resides in an environment will have that environments ambient temp and relative humidity when it is not operating. While powered, the internal environment of the PC would get warmer, not colder.
You state you have and AC and do not wish to run it colder; then don't. Half the function of the ac is to not only reduce the temp, but reduces humidity in the area it is operating in.
So for cooling any further to reduce condensation damage, it will not make a difference while the PC stays in the same environment.