R3 should be 1 mega ohm. Guitars don't like feeding into a lower load than that (you'll lose treble, i.e. experience the dreaded "tone sucking" that you read about on the 'Web, particularly with humbucker-equipped guitars.)
R4,R5,R6 are inter-dependent. Using semi-random values for R4, R5, R6 can prevent the 6SJ7 stage from working at all. I think your 6SJ7 screen grid resistor is considerably too big. I've never used this exact tube, but similar ones I've tried required around 330k - 470k for the screen grid resistor.
George and Printer2 both recommend using pots for all three and tweaking to taste; if you don't want to take the time and trouble to do that, at least tweak R4 (screen resistor) by trial and error until you have 1.5V - 2V DC across R6 (cathode resistor.) This will give you a starting point, an operating point that will at least work, even if it's not exactly to your taste.
...put all of the passive components on a PCB with wires going to the transformers and tubes, and then put the whole package in an adequately compact head, is this possible?
It's certainly possible - and frequently done, for example, in my old Fender Blues Junior.
Make sure to keep wire lengths - especially to tube grids and anodes - as short as possible. Not only do these wires pick up noise and interference, they can also cause the amp to become an oscillator, either squealing audibly, or oscillating at radio frequencies, much higher than we can hear.
Personally, if I was going to the trouble of making my own PCB, I would put the tubes on the PCB as well. Just reinforce the top surface of the PCB, where each tube socket goes, with an appropriately sized square of thin aircraft plywood (available at hobby shops and craft shops) epoxied to the PCB itself, and then drill your PCB holes through both plywood and PCB substrate.
This approach will shorten the "wires" (PCB traces) from passive components to tube pins a great deal, and this usually pays rewards in improved amp stability and reduced noise and interference pickup. The plywood reinforcement keeps the PCB from flexing too much and becoming damage when you insert or remove a tube.
-Gnobuddy