More replies, woo! Thanks, all, for chiming in.
I loosened one wheel until one thread was showing. So far all I've had time to do is tighten the spokes one full turn around the wheel three times, starting at the valve hole. So far is is badly out of lateral true, but seems to be pretty round.
Some nipples are still very loose, you can pretty much hand turn them. I feel like they will tighten up soon.
Is this the time to correct lateral true? I'm afraid if I try to correct lateral true, I will make some too tight or too loose and not evenly. Am I okay with attempting to fix the bad wobble? Or will the wheel straighten out after a few more rounds. I plan on doing one full turn around the wheel about two more times before I start doing half-turns.