Technically the dose is 1 ml (i.e., cc) per 110 lbs body weight. So if she’s 1200 lbs, you should be closer to 11 mls. Personally, I would even try bumping up to 12 mls. My trainer, who has a big mare (maybe closer to 1300 lbs?) keeps hers on 14 mls. Partly depends on how much muscle your horse has (since muscle weighs more than fat), so a weight tape might not account for fitness. So if your mare is very fit, I would not hesitate to try 12 mls/day.
I know it’s not much help, but that’s an easy place to start. I have also heard that sometimes they can have more intense hormonal cycles in the spring and summer - not sure how true it is (but I have felt as much with mine, particularly in the fall, though the change of weather never helps!).
Re: reproductive ultrasound - can’t hurt. No reason to think they don’t have the same kind of problems we do.
Curious to hear what others have to say also.