I've been challenged - need input

If it were me, I would start at Hollywood Studios at rope drop and do Rock 'n Rollercoaster and then Tower of Terror and then Star Tours (preferably on an EMH morning). If DHS was EMH, I would then go to Epcot for rope drop to do Soarin. Then over to MK where I would have FP+ set up for Seven Dwarfs, Splash, and Big Thunder. I would then probably go to AK to make sure I got EE in before they closed and try and get a 4th FP there for that attraction. Then back to MK to finish up with Pirates and Haunted Mansion. It's totally doable, especially in September. Are you going to have your own car or are you relying on Disney transportation?

Soarin' is the only one you might have issue with in terms of queue length. It's always long. If you were adding Toy Story Mania, then that would also add queue length time. It is doable. I've managed to do around 5-6 rides in a day and still had plenty of time left, so I'd think 10 can be done. I haven't done a park-hopper 10 though

Ok with Disney Transportation I would do Epcot first on an EMH day so that you can just monorail right there in the morning. Then walk or boat to DHS for rope drop (same order listed above) and then go straight to DAK so that you don't have to bus from MK to DAK back to MK. Then finish with MK, but I would still keep those as the FP+ reservations as Seven Dwarfs and the Mountains are likely to have a longer wait, especially in the afternoon/early evening. Good luck!

Oh wow! Okay this sounds like what we have planned for our upcoming trip in October.
What days are you going?
If you can hit HS for morning EMH then run to ToT, R n' R, and Star Tours
Jump on the bus to AK and hit EE
Bus to MK (where you should definitely get the FP+ for 7DMT, Big Thunder, and Space Mountain). Then after you use those three try to get FP for Haunted Mansion.
Monorail to Epcot where you will wait a bit for Soarin'. Test Track will hopefully not have a huge wait, so you can jump on that also.

No matter where you start, I would be there for rope drop and get a hustle on it. I have sometimes found it be better to skip the parks that have the EMH and sometimes I have found them to be a great time to be in the park. I think you should definitely use your FP+ in the MK though due to the fact that 7DMT is really going to delay you if you don't.

Good luck!

The 2 parties last year, all rides were practically walk ons, especially during the parades.

Expedition Everest, Mission Space, R&R all have single rider lines.

Here's another thought....

Pick a day that Epcot has evening EMH.

Start with DAK for Everest. From my experience, the standby line is 5 or 10 minutes first thing in the morning. Head to MK with for the rides there (FP+ Seven Dwarfs, Space Mountain and Splash). Once you use your FP, try for one for Soarin' for late in the day. Go to DHS for the rides there (use single rider for R&R). Hop on the boat to Epcot. Hopefully you'll be able to get a FP+ for Soarin'. If you don't get one, try stand by for Soarin' during Illuminations. I'm thinking a good portion of the park guests will be in World Showcase during this time. If there is a bit of a wait, the park will still be open until 11:00. You can also take advantage of the single rider line for Test Track.

I couldn't remember if there was a single rider line for Test Track.

There is - last year, me, my mum and dad all rode separately on Test Track as we didn't want to wait 45 minutes whilst the single rider queue was around 20 minutes at most.

Yep that would be my exact order.

Here are two guys who did ALL 46 "rides" (no shows) in one regular operating day, so you can definitely do it. Especailly in September.
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I also think this is the best plan of action.

I've done all four parks in a single day with rides in each park, so I know it's doable.