I don't know for sure, but can't you just get a radiator flush kit to get out the sludge? It's worth asking the guy at the parts house about.
In such extreme cases of cooling system sludge build up, I would take it to a shop for a professional flushing and cleansing.
I would suggest a car radiator specialist type shop - they'll know how to NOT cause more damage to the system.
See "Related Questions" below for more about flushing it yourself
Drain coolant Remove transmission cooling lines Remove upper and lower radiator hoses Remove upper mounting bolts Pull radiator up from support cradle
Yoy need to remove the whole front end including radiator
Drain the water from your Corvette radiator. Remove the radiator hoses. Remove the radiator stabilizing arm bolt. Remove the radiator retaining bolts. The radiator will come off.
Drain the water from your radiator. Remove the radiator hoses. Remove the radiator stabilizing arm retaining bolts. Remove the radiator retaining bolts.
Remove passenger side fan that is attached to the radiator. Drain freon out of system. Remove electrial plug on compressor. Remove bolt that is located between the two hoses on an aluminum block attached to compressor. Remove the serpentine belt. Remove the 4 bolts that are located on the radiator side of the compressor. You now have it off but be careful not to damage the radiator when lifting it out.
Remove the water from the radiator. Remove the radiator hoses. Remove the stabilizing arm from the top of the radiator. Remove the radiator retaining bolts. Reverse the process to install the new radiator.
Removing the radiator depends on the engine type. Locate the hoses and remove the bolts. Disconnect the radiator hoses. Remove the bolts holding the radiator. Remove the radiator.
How to remove a radiator
Drain the coolant from your Ford Fiesta radiator. Remove the radiator hoses. Remove the radiator stabilizing arm. Remove the radiator retaining bolts. Reverse the process to install your new radiator.
Drain the water from the radiator. Remove the radiator hoses. Remove the radiator stabilizing arm. Remove the radiator retaining bolts. Reverse the process to install the new radiator.
Drain the water from the radiator. Remove the radiator hoses. Remove the radiator stabilizer arm. Remove the radiator retaining bolts. Reverse the process to install the new radiator.
Drain the water from your radiator. Remove the top and bottom radiator hoses. Remove the radiator stabilizing bolts. Remove the radiator retaining bolts. Reverse the process to install the new radiator.