It would have been useful if you had posted your exact schematic. AND if you had been more specific in what you want different in tone.
Geezer and I always felt like the TOS was a build and tweak amp.
So, I will offer these tweaks as a consideration. Not saying you "should" do any of them.
With this schematic with tweaks, my goal was to preserve the clean tone you have AND increase the OD channel overdrive and make it smoother. Note the use of 5751's instead of 12AY7's. You might want to continue with 12AY7 in V1 and substitute the 5751 into the V2? I think the clean tone would sound about the same after these tweeks and the OD would sound smoother?
I changed two of the values of the pots in the OD and also noted to use audio instead of linear.
The idea of the cathode follower behind the 5879 pentode is that I found having a cathode follower there increases the smoothness of the OD channel. The "enhance" cap paralleling the 82k LTPI plate resistor adds smoothness in my experience and eliminates some of the harshness of the treble tone.
Orange Drop PS or the other Orange Drop polyester caps add smoothness. Using Vishay-Dale RN65 plate resistors helps with smoothness.
Regarding the 430R/10watt power tube cathode resistor. You could try a 330R or 360R. You could also try a 50uf or 60uf or 100uf cathode cap there. I would be inclined to experiment with the cathode caps there first prior to trying a different cathode resistor.
Regarding eliminating features ……………………….
The "FAT" control is kind of a cool feature but I found it to be a set and forget thing for me & perhaps it really didn't add that much in tone? Some of the components between the clean/OD switch and the OD trim pot I found to be not needed at all. I have found that I tend to not use the master volume after the clean channel when I have a PPIMV, so the "tweaked" schematic removes that altogether.
IF you are more specific in how you want to change the tone, perhaps we can help you out more effectively?
With respect, Tubenit