Had a ideer for a A/C system

Ok so on the way home I have an ideer. I looped the hose on my car so there is no water going to the heater core. But what if, I took a hose that had a 5/8 end and a 1/2 end the hose would be about 2 foot long. What if I put a small 12v inline water pump and a small motorcycle inline water color and then you circulate water and cool just through the heater core and when you turn on the fan you blow air off the cold water would it work guys and do you know how good the motorcycle water coolers work. The hose would be hooked to just the two heater core inlet/outlets.

Does anyone know what temp the motorcycle inline water coolers cool the water to.

It might be a little rigged but if it saves an 800 dollar ac setup I can deal with it.