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Wouldn't a 4 speed be a handicap with a Coyote though? A brand new Jerico 5S-RR 5 speed is $5300. If it's as tough as you say and can be made to fit without spending yards more cash it would seem to be money well spent for hard nuts racer dudes.
Just so you know I'm not talking out my ***. My racing transmission history is this....
top loader 4 speed
close ratio top loader 4 speed
jerico 4 speed (kept it and put it in another car)
saenz 5 speed (the goodyear car in my sig)
jerico 2 speed (the 47 late model in my sig)
The silver street car has a tr6060. Its adequate for the street but sucks compared to any of the above.
$3k plus a core is practically T56 Magnum territory. Not sure if upgrading the MT82 is worth the trouble at that price.