I hear you on the input tubes and have some nice NOS 12au7 and 12ax7 tubes to roll through the amp. I have Cerious Technology GE IC’s in my rig so I will live with them.
The GE ICs are very detailed and revealing so chose your tubes wisely. Your small signal tubes should not have extended highs.
It looks like the 12AX7s are in the gain stage and will have the most influence on sonics. Mullard CV4004 or the longplate square getter should be on your list to roll, they’ll take the edge off. Brimar CV4004 is also a good choice, more dynamic than the Mullard.
Then try a neutral 12AU7 which looks to be the driver/phase inverter.
As others have recommended, change out the KT90s. Don Sachs uses KT88s, a good choice. The GL KT77s are a wonderful linear variant of the EL34.
I wouldn’t recommend going on the merry go round of swapping cables, stay with tube rolling.
What brand of input tubes do have on hand?