With 36xxx miles on the clock, my clutch is pretty shot.
Maybe. But, you don't have enough data to make that diagnosis, imo.
Can't find neutral while stopped,
That's a draggy clutch
Bad oil (wrong oil, worn out oil), poor adjustment, or warped plates.
twisting throttle past halfway causes RPM to jump while in gear, etc etc.
Slipping clutch.
Poor adjustment, wrong oil additives, worn plates, weak springs.
In the interest of preserving what's left of it, I've noticed it's pretty smooth to shift without the clutch if you grab the next gear while rolling off the throttle just right. What I do is real lightly press upward on the shift lever and lean out of the gas slightly and it seems to just slip right in (no pun intended).
No clunks, no shudders; I try to be pretty attentive to this type of thing. Is this harmful to the drivetrain in any way?
That is speed shifting done routinely in drag racing. (Where frequent rebuilds or a way of life.) Being a constant mesh trans, the gears won't suffer, but the engagement dogs will eventually round off leading the trans not staying in the selected gear There is also extra wear on the shifting mechanism, ie, Drum/forks, etc.(when pressing up before throttle blip), which is also what holds the dogs in engagement.
I'm riding it out for now but maybe I just need to get off my lazy a$$ and tackle this clutch job.
Or, you could wait 'til you need a transmission repair (engine out of frame and split the cases) and then do the clutch at the same time.
A clutch job/exam can be done with the engine staying in frame.
I'd prefer to save the trans over nursing a poor clutch.
Spare the clutch, spend the trans? Your call.