Good Lord man......you and that damned cooling system of yours....lol.

Bleeding the system is not all that hard. Here is how I do it...and this isn't the easiest way, but it's damn efficient and I have never had a problem with doing it this way (and as folks have said before, bleeding the Ka is not at times, fun...at all).

I actually jack the car up and set it on jack stands.....about at a 45 degree angle. The reason for this is air rises, so the higher the angle of the car the easier it is for any bubbles trapped in the back of the motor, to come forward and expel. Leave the raditor cap off so as to be able to constantly fill it....you put it on, you'll pressurize the system....God forbid you have to take it off again to poor my water in....you can't...unless you want some tasty third degree burns.

Now crank your heat inside the car all the way up so as to let the coolant thru the heater core and its respective passages. Start the car....let it run while checking to see when the lower rad hose begins to get hot...this means your thermo is working (if it never does, guess what...bad thermo). Now while warming up I unscrew the bleeder screw found on the intake manifold (I'll assume you know where that is)...don't take it out by any means...just unscrew it till you see a couple of threads. This is where I begin to actually shake the motor back and forth.....and I mean pretty damned hard too....this helps TONS in getting any stubborn air pockets that still may be in there. Do this along with constantly squeezing the upper, lower and the heater hoses in the back.....together this should get every ounce of air (well close to anyways) out of the car....done....

Shut her off, lower it back down, and start her up again and make sure the coolant is flowing at the mouth of the raditor....if so, you should be good to go. Put the cap back on and take her for a spin.

As for any other possible things to check as you mentioned in your above post....

1. Fan clutch: You should be able to feel some resistance when spinning the counterclockwise.....that and if it is bad, the car, when revved, will sound like a God damned hellicopter....not hard to identify.

2. Water pump: The pump has what is called a "weep hole"....it's on the underside of the pump....if you see coolant leaking from it, then that means the seals are gone....and needs replacement.

I really hope this helps man....I know what a pain in the arse the cooling system can be on our cars and totally sympathize with ya.....let me know if ya need anything else.

...Oh.....when you can...get a damned water temp gauge. I'm not saying your not having issues with the cooling, but a tried and true gauge (albeit from Autometer) makes you soooo much more comfortable when driving...especially in this shity Florida heat.

-Bill