Shawn,
The last thing you were asked to do was to come out in the morning and feel the radiator hose so that it is cold and should have no or low pressure where the hose would be squishy (that's a technical term).
Then I wanted you to start the engine and walk back around and squeeze the hose again. That was to check to see if there is pressure building IMMEDIATELY. This might tell us you have a blown headgasket, since if you are losing coolant it has to go somewhere, it's not going to evaporate from the system. If you did have a blown headgasket and it's a really small one then you should feel pressure building in the hose.
Basically this is how a blown headgasket between a cooling passage and a cylinder works. The intake stroke is started and the valve opens the piston moves down the cylinder creating a low pressure area that causes air to move in to take in the displaced volume of the cylinder, along with some fuel.
as the pistion nears the bottom of the stroke the intake valve closes and the piston compresses the fuel air mixture and as it comes to the top of the stroke the plug ignites the mixture and forces the piston down. This large increase in pressure and any small leak between the cooling system creates enough pressure to force some of the gases into the cooling system (raising the pressure in the cooling system).
Then I think you probably know how an engine works.
In really bad cases it can be so bad as to push all the compressed gas into the cooling system, then since the valves are still closed it will suck coolant through the same leak and blow it out the exhaust. I had this happen on a Buick 350 one time when I blew a headgasket. I was able to get it started and it looked like I was fogging for mosquitoes, I drove about 15 miles and was almost out of coolant. I stopped at a gas station to fill up with water and it died, when I went to crank the engine every time it got to that bad cylinder I could see the upper radiator hose pump up and up and up as the engine rotated.
We are not suggesting that scenario but a much smaller leak that is causing you to lose coolant. Obviously it isn't leaking since you checked that so it's going somewhere. Out the exhaust is the only logical choice since you swear up and down that there isn't a leak we have to take your word for it. You are our eyes, ears, hands and feet. We can't do it for you, we need your help solving your problem.
A compression check was suggested. If you don't have a gauge speak up, and if you do then get out there and do the tests. We can't make it any easier.
Jeff