It took them until today to get around to running the progesterone from last Wednesday, because of a broken machine, but I got the results a little while ago: 4.27. Per Mom, this indicates some level of ovulatory activity, but it's somewhat tricky to evaluate because of the two LH spikes.
If the first peak, on CD18, was the "official" one, this was not a good ovulation, and is not sufficient to sustain a pregnancy. On the other hand, if the second peak on CD24 was the "real" one, it's better news. This isn't a bad result at all for just after ovulation, and would probably correspond with a reasonably good peak level. However, the egg quality could be dicey, after a previous near-peak and long growth cycle.
Rather than do another draw, Mom thinks we should just wait to see when my period shows up, and work backwards to decide which day was the correct one. If the total cycle length is around 32 days, the first case applies; even if the second peak was the real LH surge, we'd be talking about an 8-day luteal phase, which is problematic. However, if it's more like 38 days, the second peak was the real one.
In either case, we're almost certainly going to do monitored cycles for the next month or two, so that we can know what's going on throughout the cycle rather than getting a single-day snapshot. After that, Clomid is the next step, although I don't know how quickly we'll go there -- G is expressing what we will politely term "reservations" about "rushing" into treatment, and about the risks of multiples. That's a subject for discussion in and of itself, but worrying about it at this point is premature.
ETA: Thyroid results are back. TSH is suppressed and free T4 is 1.09. That's within normal limits, if somewhat low for me -- I'm usually more like 1.5. The suppressed TSH is normal for me, since my variety of hypothyroidism is hypothalamic in origin.