Also for quiet and less exhaust heat, you could try dumping the heat down your bathroom drain, using cold water as a heat sink.
1. Get an old vehicle "heater core", "oil intercooler", or an air conditioner radiator from a junk yard. (Should look like it's a long twisty coil of tubing, and may have fins on it.)
2. Make a cardboard or wood box to surround it as an air duct.
3. Get some plastic tubing, a sink faucet adapter, a small heavy piece of metal tubing or pipe, and hose clamps.
4. Attach: faucet adapter -> tubing -> heater core or cooling coil -> tubing -> heavy piece of tubing/pipe
5. Connect faucet adapter to your bathroom sink, put the heavy tube/pipe in your shower/tub. (The heavy weight is needed so the tubing won't fall/flop out and flood your floor.)
6. Turn on the cold water full blast to fill the tubing, then adjust the flow down so just a dribble of water comes out into the shower/tub.
7. Use the water-filled coil with a fan to:
- cool the room air and replace a room air conditioner
- cool exhaust air to reduce heat signature
8. Occasionally check the outlet water temperature at the tub/shower with a thermometer. If the water temp exceeds ambient room temperature, increase the water flow rate for more cooling.
This will increase your water usage, but will cut down your electric bill if it means you don't need an air conditioner or so much exhaust air blowing around.
Additional notes:
* When disconnecting from the sink, a water siphoning effect may cause water to suddenly gush out of the lower side. This can happen just moving the disconnected hoses higher or lower if they are full of water.
(Valves on the tubing would be a good idea, so that when the tubing is removed, you can close the valves and keep the water in the tubing from leaking out all over. Note, cheap clear vinyl tubing cannot handle house-plumbing water pressure and will blow apart if you try running the water into the tubing with the valves closed.)
* Water should enter the coil from the bottom and exit at the top. This keeps the coil full of water and you can run the water supply at a slow dribble.
(For some coil shapes, if the water enters at the top it races through the coil to drain out the bottom and the cooling capacity won't be very good.)