Well maybe changing plate/cathode values would bring you closer to Fender tone. V1 100K plate, 1K5/10uF cathode and V2 150K, 2K2/10uF just like famous #124 amp... but remember that will change your OD tone as well.

To me, OTS clean sounds just right... but that's just me.
 

Comparing the OTS to a Fender 'Blackface' in the clean department,  I`d think you`d have to get a good reverb unit happening on the OTS first.
Quite a big part of the blackface character is due to the classic reverb in the mix.

I`ve owned a super reverb & twins too and if you dial out the reverb, alot of what you hear changes. Maybe not sonically, but the overall character does alter.

My OTS sounds great and more fender like than anything else, but the OTS really does have its own thing happening in the cleans department and I do believe it`s probably a better tone than a Blackface clean,.. if you have a decent reverb unit on-board..!

The OTS has more transperancey to its cleans than a Fender in my opinion and the definition of the bass, mid & trebles are more pronounced and refined compared to the Blackface I think.

If you just love Fender BF cleans and reverb,.. then best you get one of those models and maybe drive it with a D-mble like OD pedal ie:  Zen Drive or the Okko 'TwinSonic'...!!

Cheers and good luck.