Like I said, you can use a pair, if you don't mind the count of two. They're cheap enough to throw in anywhere, so who cares?
I don't think they made a heptode, at least in the CKxxxx series for example. I see some battery op types (1AE5, 2G21/22), but those might be incongrouous with your system (or an alternate direction to go in, for the whole thing, if you buy a case of filament-type pentodes instead).
Or you can "cheat" the submini theme by tossing in a regular "miniature" socket and use a 6BE6 or whatever. I don't see that as a sacrifice; it'd be like using a SOT-223 LDO (instead of a DFN or CSP variety) in a circuit that's mostly TSSOP and QFN. It's not like it's terrifically different, and if it works, it works. I've got a 6AL5 in my submini SW radio, since I don't have any submini diodes handy.
If you're going to give in and throw SS at it, you might as well do the whole thing in SS, in which case I'd recommend making/using SBMs like the CA3028, or DBMs like the MC1496, etc. Compare with my volume mixer:
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BTW, all of your timbre (tone quality) comes from the oscillators and mixer: their distortion/purity, locking behavior (defines how rough the low notes are), and distortion/IMD in the product.
So if you're looking for a "particular sound", that's where you need to do it. SS vs. toob will have some play there.
You can always distort a sine wave more, so you can instead make as clean an audio output as possible, then distort it with add-ons. You can literally use guitar pedals (and I would recommend it), with one caveat: try to get a fixed amplitude audio signal, then distort it, then volume-control it. So you'll be putting the pedal on a "patch" loop on the unit, not the output. Putting the final (variable amplitude) output into a guitar pedal (or some circuit like that) may have undesirable results (attack/decay, change in timbre in the process), depending on the circuit. But that might also be a good thing, so see what works for you (when you get there).
Tim