The problem of 300B they need a driver with 150 volt peak to peak voltage swing. For 845 you need much more voltage swing.
If you direct-couple with a CF that's no problem at all! Here's something to consider:
The grid of triode power tubes is the most capacitive of any kind of power tube. Triode power tubes are also very low mu (gain). For example the 300b is a bit over 2. The 6AS7Gs we drive in our OTLs is only 2.
So driving such a load from the plate of a driver tube is a task- hence the common use of an interstage transformer. But that part is expensive if its done right and it makes distortion and limits bandwidth.
When you use a cathode follower its input impedance is really high so its a lot easier to drive than a power tube and easier to drive than using an interstage transformer. So its a lot easier for the Voltage amplifier to drive it without distortion and the driver itself is inherently low distortion as well.
Since you are into DIY you might consider trying this. Its not that hard and like I said, the tube section to do it and the minus supply is usually less expensive than a good interstage transformer. As a general rule of thumb whatever the B+ Voltage is that you use now for the driver, if using a direct-coupled cathode follower you'll need a B- of equal absolute value. That will allow it to have the Voltage swing you need. A single 6SN7 section can easily swing 150V or more no worries. We've been doing it for decades. Usually you can obtain the negative supply if you use a bridge rectifier. That requires a power transformer with a center tapped secondary.