I don't know anything about Minis so I'll say that right up front. My question is how could you have had this mare so long and all those foals WITHOUT a farrier. You mentioned I think 5-6 foals in the beginning which means you've had her at least 5-6 years. My horses feet have gotten 'away' from me a couple times, well the first I bought her that way, and I used a rasp on them until I could get a farrier out. And I agree with the OP that a bad farrier is better than her hooves right now. You're not making a life long decision you can't back out of, mine's had three in three years. And unless the next trim is better, it will be 4. Or I'll start doing them myself.
Owning an animal is a big responsibility. And countless times I've had to forget something I needed to get something my dog or horse needed. I can't honestly offer anything more as a critique because that little mare just looks freakish kinda compared to the minis I've seen. I'm sorry, I'm not trying to be mean but please ask your vet when he/she comes what you can do to more effectively provide your horses with general comfort.