urgent help! Cooling system problems. Options

[KaneO]

I recently had my Celica with a 5sfe taken in to get a new radiator. problem being now is i think there is air traped inside. Tried Numerous times to bleed it.. what happens is when i take the car for a long drive and shut it down it dumps about a litter of coolant out the expansion tank and it also dose sometimes when the car is running.. Temp is normal according to the gauge and the car runs fine otherwise. I've taken it back to the mechanics and they failed to fix the problem. What's worse is i had plans to go on holidays and drive this car there. witch is less than a week away!

My bleeding procedure is the following so correct me if Im wrong.

Turn the heater to full hot. (fans off). Start the car with the rad cap off. using a small funnel wedged in there i top off the radiator. I then rev the car as it seems to help purge the air out. Wait for the bubbles to stop and shut the car off and refit the rad cap.

please help.

[Toyo6g]

I think that the problem is the head gasket.... It haves a few bubbles....
If I fill the radiator and the reservoir!!! Where is the water?? I mean if is full....
Another thing I don't have water/oil mix or oil/antifreeze...
With the rad cap of and if I rev the water stars moving... So my water pump is still good!!!!
The fan problem I haven't fix that... I've check the fan relay and one of the wire did not have any contact with one of the pin.... If I remove the main relay the rad fan turns of.... I try to check for short circuit and I did not find anything!!!!
So.... I don't know what to do!!!!! I HATE DRIVING MI WIFE'S CAR!!!