There is an alternative.
Get a transformer just for the heater circuit of the KT-66's
You will have ot get a spacer and have it bolted just below the normal transformer.
A qualified amp tech can do this for you easily, just make sure that you do these itesm...
1) Use at least a 1/2 inch spacer between the bottom of the chassis and the transformer.
2) Wire up only the heater circuit for the KT-66, disconnecting them form the old transformer and using the new transformer.
3) Make sure that all of the bolts are super tight and use loctite
4) Make sure both of your transformers are properly grounded at the same place
5) Make sure that the speakers fit.
So, now the original transformer will not be seeing that power tube heater draw and will operate cooler and the additional (new) transformer will handle the heater circuit only.
IT WORKS