That's common with varimu since they need to develop a really high signal level to drive the sidechain. The schematic has an attenuator after the output transformer. Not related to changing the design to use off the shelf transformers, will still have a output level that needs an attenuator.
T1: look at ua175 to see workaround for CT secondary and use any 600:60k
T2: DaveP's suggestion to drive the interstage with cathode followers (adding a tube) to use any 10k:10k
T3: This transformer is possible to get, but possibly change to WCF (LA2A) to use a cheap Edcor 15k:600
It's a hard question. If you have a lot of experience with a BA-6A and know it does and sounds exactly like you want, then you should go all in on authentic. I'm still not sure there are any confirmed builds that the sowters can do the job right. Getting originals would take patience and $$$$$.
I expect there are nuances to the original circuit and iron that a modern version would lack (possibly in a good way). But I haven't used an original.
Modifying the circuit could bring down the cost a lot and maybe arrive at something really good.
A tube varimu is an advanced project, so expect it to be hard to build and get right. I would suggest you spend time to understand tube electronics and how the circuit works before attempting the build. Soldering it all together will be the easy part, debugging and calibrating will be the hard part.