I could have written a similar post to yours a few months ago. Now, I'm glad to be answering your post. I was a little into the "overweight" BMI which is, in my opinion, a stupid measurement. Everything else was perfectly fine so the homebirth midwives just kept monitoring me as they would any woman.
My daughter was born at home on 4 December and it was a lovely experience as much as labour can be lovely. My waters broke at noon and my contractions started soon after. I dealt with them by sitting on our sofa and breathing through. We called the midwife when they seemed close. She had a quick look, said I was only 3 cm, and recommended a bath and paracetamol for the pain. They worked quite well for me and only an hour or so later we called her again. When she returned, I was 9 cm and labouring on our stairs. This was a comfortable position for me if not for DH who had to contort himself in comical fashion to feed me satsumas.
It wasn't long before I was back up in our bedroom leaning on our bed and pushing hard. I thought at one point that I had at least two pushes left before the baby came, but I went with my body and she shot out like a rocket startling the midwife. DH and I had previously decided that he would be the one to tell me what sex the baby was so once she was out and yowling, I heard his voice telling me she was a girl.
She'd come out so fast she snapped her umbilical cord so I had an injection to get the placenta out. While I was waiting for that, the midwife had a look to see about stitches. I didn't need any, I just had mild grazing.
The whole thing took a little under 12 hours, but I think that was the combination of being in my own relaxed environment (I laboured in every room in our house), the undivided attention of a skilled midwife whom I trusted and my DH's encouragement.
The environment of the home helped me, I think, because I felt that I could make as much noise as I wanted. I grunted, groaned, and moaned throughout labour and it really helped me learn to manage the contractions as they came. I also liked being able to move about anywhere I wanted and everywhere being somewhere familiar.
My midwife was also wonderful because she saw that what was best for me was to let me get on with it, and say encouraging things every so often. She did bring me gas and air near the end when I wanted it, but I hardly used it. I just liked knowing it was there.
And, of course, my lovely DH didn't feel useless as there was plenty for him to do. As I said, he fed me satsumas on the stairs. He also put glasses of water in every room for me to drink if I wanted them, and, naturally, kept encouraging me as well.
For me, size wasn't an issue as I was, overall, pretty healthy. I had a very good experience of homebirth. Hope this is the sort of tale you were after.