I am from PA, and I used the Susquehanna diploma program for two of my three older dc. Although they did not do HOD, I hope I can put your mind at ease. If your dd is doing the general education diploma, she can cover each subject as you see fitting. First of all, the only subjects for which you need full semesters or years are the required credits for the 4 years of high school. The other areas just need to be covered sometime during 7-12 grades, but not necessarily a full semster. The general diploma does NOT require certain branches of each subject to be taught for credit. I will give you a run-down of my oldest dd's credits for Susquehanna:
4 English credits (you could use any HOD guide and have that covered every year)
3 credits in Math - 1/2 Algebra, 1 Consumer Math, 1/2 Computer, 1 Business Math
3 Science credits - 1 Environment (dd was involved in Envirothon, so she did extensive study in that one year) 1 Physical Science, 1 Animal Care/husbandry
3 Social Studies credits - 1 World History, 2 US History
A certain # of arts and humanities credits are required, My dd had more than enough. She covered them with Music, Art, Ethics, and had other electives such as PE, Child care, and New Testament Survey.
If your dd is going to vo-tech and she is going for a general diploma, she can cover her credits in various ways. Even though I have not seen the upper guides in HOD, as far as I can tell, you can continue through the guides where you are and whatever Science and History are covered that year, that is the credit she would get. (Ex, PA History, World History, US History, Civics, etc. or in science... Physical Science, Biology, Chemistry, etc) All those other things you mentioned do not need extensive coverage. I'll give you an example. HOD's history in a certain guide may be considered US history. There is always some gepography included in that. You do not necessarily have to have a whole semester of geography. She will get a history credit for whatever branch she is doing that particular year. Only those going for the College prep diploma are required to have certain branches completed for credit. Since your dd is planning on vo-tech, she could very well have all credits completed by 11th grade and just need English her 12th grade year while in vo-tech. It all hinges on whether the student is college bound.
Just for the record, not all colleges require a college prep diploma. There are good Christian colleges that will accept general diplomas. My dd never had intentions of going to college. She did eventually go to Bible college and was able to receive some secretarial training. She is married and now works as receptionist/secretary for a chiropractor. Eventually she may even be trained to run some of his equipment. I always said I could picture her married to a farmer. Her husband grew up on a turkey farm. After his training in electrical work is finished, he talks about going back to turkey farming.
That is where they would like to raise their family.
Edit: I was just reading through your post again. If your daughter is doing history in HOD, you do NOT need to supplement with the AO courses you have, except as the pp mentioned, save the PA history for the HOD guide that Carrie has state history scheduled.
There is plenty of history in HOD!
Feel free to PM me if you have other questions.