Okay, so I read your post a few times to make sure I understood everything. You'll have a total of 5 adults for the majority of your trip, right? You'd be able to put 4 names on a room reservation at AS Sports, but that would leave one person out when it comes to making FP+ bookings at 60 days. Even though you and your daughter have APs, you'd still need to stay onsite for one night in order to book those, and linking the reservation in your
MDE account would show who is onsite and who is not.
The cheapest option would be the Disney campsites for one night since you could list everyone, but I doubt that you'll be bringing camping gear! The next option would be Port Orleans Riverside, which can accommodate 5 per room. If that's not available, you could do a suite at AS Movies, which can accommodate 5 per suite--that would probably be over $200 for the night, and you'd have to decide if it's worth it to be able to book all of the FP+ at 60 days. Oh, and I think Disney charges a few dollars extra for each person over 18 in the room over two people (maybe $10 a person?). One more thing--when staying onsite only one night, you'll have to make your FP+ selections one day at a time. For example, if Day 1 is the day you check out, and let's say that the date is September 20th, you can make your choices 60 days before that date. If Day 2 is September 22nd, you'll have to wait until 60 days prior to that date to make the choices for that date.
I had a party of 6 for our stay back in May--me alone with 5 kids (yes, I lost my mind for a bit!)--and we stayed at AS Movies for our first night, arriving at 9pm and leaving around 7am the next morning. I stayed up late each night for a week to make our FP+ choices 60 days prior to each date, but it was worth it to me, since I was able to get what we wanted, including some Anna & Elsa FPs.
Really, unless you're needing FP+ choices for A&E or maybe the mine train, booking them at 30 days would be fine. Heck, I have many friends that have success at getting the mine train at 30 days!
Now that I'm sure I've made all of this clear as mud, I'll stop. Let me know if you have any questions, or if I made no sense at all!
Edited to add: after doing some research, it looks like you'd be able to book FP+ choices for everyone as long as you have them added to your MDE account. I'm going on the word of others, though, since I have no personal experience doing this.