I'm trying to gain more headroom in the PA tube
... a SE build ...
Define your goal of "more headroom" (a pet peeve of mine because I believe most of this phrase's use in relation to guitar amps & modifications removes almost all meaning from the term).
What I mean is are you wanting more clean power output? More clean volume from the speaker? Maybe you already have a built and functioning amp, but it distorts by "4" on the volume control and you want it to stay clean until "8" on the volume control?
If you want an actual increase of clean power output and/or volume from the speaker, SE was not the way to go. And unless a very-wrong load was chosen for the tube & supply voltage available, you won't get any actual increase in clean volume from the speaker (as measured by a dB meter with a test signal that measures some fixed reference level of THD at the speaker terminals) without changing to a more-efficient speaker.
This is because the output stage, its topology, supply voltage and load, determined the maximum power output (which is why a legit design starts with a specified goal of clean output power, then the output stage is designed, and then everything else working backwards towards the input jack). Once the output stage is settled, there's no significant increase in power or headroom available without changing the output stage (push-pull operation, more or bigger tubes, etc).
Some things give the
illusion of "headroom": the relative insensitivity of triode mode requires a bigger drive signal from the driver/preamp, so switching from pentode to triode mode in an already-built amp gives less distortion and the volume control has to be turned higher for the same speaker-volume (which some people interpret as "more headroom" though the amp may not be cleaner
and louder). Feedback around the output stage may appear to give more headroom, but it too reduces power sensitivity (how hard you have to drive the input-end of the feedback loop to get a certain power output at the speaker terminals). Preamp feedback may appear to yield more headroom because there's less distortion; same comments apply about sensitivity.
Figure out the output stage based on the clean output power needed. Once the output stage design is done, figure out what drive voltage is required to get your maximum power output. Figure out if you're going to use feedback around the output stage to reduce source impedance, widen bandwidth and/or reduce distortion (until the gain within the feedback loop runs out); determine the amount of that feedback, because it's going to raise the drive requirements of the output stage. Figure out the difference between that signal and the likely average signal at your input jack; this is the gain required. Figure out how many tube stages & what type you'll use (with some total gain in excess of what you just found was the minimum needed to drive the output stage). Add a volume control somewhere so you can turn down too-strong signals but also turn-up for too-weak signals. Figure out if you're going to trim unneeded gain (and maybe increase bandwidth) by using feedback in the preamp. Figure out if you're going to ad other features (like tone controls) that throw away gain in order to work and/or require make-up gain after.