Ok, so I did this! Some interesting observations here, though things didn't work out 100% correctly (as I'll explain):
1) I "permanently" put back the chokes as the plate loads (150H, 3700 ohm DCR) rather than having them on a switch. Then, I wired a DPDT switch for both tubes so I could switch from triode to pentode. One side simply completes a circuit between the plate (pin 2) and screen (pin 4) for triode mode, as in the stock Quickie. The other side of the switch takes "high" voltage to the screens instead. I played around with different voltages, given that the terminal strip for the 9V cells has several options available (9V, 18V, 27V) in addition to the full 36VDC. Interestingly, the full B+ sounds best - the lower voltages start to distort earlier.
2) In pentode mode, gain is huge. While the pre-amp is at unity in triode mode at about half open, it only takes a quarter of a turn of the pot to do the same thing with the pentodes. So, it has at least twice the gain.
3) Here's the problem: one channel is a few dB louder than another in pentode mode, but yet when I throw the switch, is perfectly balanced in triode mode! What's strange is that each screen gets the same voltage, which I verified with my meter. What's not the same are the plate chokes. The quieter side shows a larger voltage drop across the choke than the other, even though they're the same type of chokes (Hammond 156C). One side is about .3V down from the other. In triode mode, this seems to make no difference, but is noticeable in pentode mode, in that the image shifts towards the louder channel. Why is this? Could one of my joints be cold, or do chokes really have that much variance between them? Should I go back to 4k resistors instead?
4) The 3S4 tubes actually sound nice as pentodes. Things are very "clear" - the triode mode sounds a lot darker in comparison, though I happen to like that most of the time. But, the pentode mode has a much higher output impedance (I think the Rp for these tubes as pentodes is .1M). I'd assume this means that the stock coupling caps (2uF?) end up being too small to avoid a rolloff in the bass frequencies. Correct? There's a lot less bass with the pentodes - I'd estimate they are starting to roll off around 100Hz. What size caps can I use to keep a low -3dB point with both modes? I remember somebody posting about how to figure this out one time.....
As pentodes, these little suckers put out enough juice to bring my Heresy III's (99dB/1W/m) up to listenable levels (note that I said "listenable," not "loud") at full power through some Specos. Pretty cool! In fact, the spec sheet on these suggests up to 270mW output power, as pentodes, if the B+ and screen voltages are increased to the maximum rating. I don't intend to do that, of course - this was more an exercise in learning about tubes vs. trying to jury rig an amp, since I already have the S.E.X. amp as my main rig.
EDIT: Thought I'd mention that the channel imbalance in pentode mode does not follow the tubes - it's always in the channel where I measured the B+ to be slightly lower (27.6VDC vs. 27.9 for the other one). Swapping cables also doesn't make a difference - same imbalance, same place.