Flew the plane again today and unfortunately uncovered one of those possible problems I was worried about. Given the possibility of a deep stall with a more aft CG and the way the plane can tip stall, I suspected it might spin, and it does, quite badly in fact, with that more aft CG.
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It seems like the CG I had on my first flight is about as far back as it's safe to go. The good news is that the fix is easy - just don't fly with an aft CG and you're golden. I also wasn't flying very well today, and it's certainly flyable with that aft CG so long as you don't stall. I'll probably modify the battery tray to make it easier to keep the CG forwards and reduce the likelihood of someone installing the battery too far back.
The plane also crashes surprisingly well for a 3D printed design. It landed in some tall grass right next to a drainage ditch, which probably helped, but I was still expecting it to be in many small pieces. Instead, the flying surfaces (wings and tail) are completely intact except for some easily fixable damage to one aileron. The nose fuselage, where it hit, was destroyed, as expected, but the core fuselage was mostly ok and should be easily repaired. The tail fuselage cracked, probably due to the weight of the tail, so it needs to be reprinted too, but for how nasty the crash looks, it should only be a couple days of printing and less than an hour of actual work on my part to get it back in the air.