Is Peltier Cooler Good for Outdoor Application?
A fan is much more likely to get you what you need.

The biggest problem with using a peltier cooler in your application is its poor efficiency. For every watt of heat you move from your chip to the case, you add several more watts of heat, causing your case to get much hotter.  This can easily lead to a situation where this extra heat overwhelms the peltier and ends up HEATING your chip, rather than cooling it.  The peltier elements can only handle a certain temperature difference between the two sides.

To get this to work at all, you would end up adding a heatsink and fan anyway.