You technically could run an intercool to cool down the air, but you are then restricting the air that goes into your engine a lot more. The best thing to do if you do not want a turbo, is get a cold air intake or an ice-box if you're serious. You will lose more then you will gain with a turbo-less intercooler setup. You will only see the loss on paper though. No matter what kind of intake system you have, you won't feel the difference while driving. If you drive your car during a hot day, then drive it during a colder night, that will be more of a power increase then spending tons of money on an intake system.
Also, if you get an intercooler and don't have a turbo, you're just going to be made fun of and be called a ricer to whoever sees your car. I'm not trying to be a jerk but it's just reality.