The best sound really will come by not using an AT screen. For that matter, the best video also comes from not using an AT screen. Theaters use AT screens because they have plenty of room for speakers behind the screen and really, they don't have a good spot for their huge arrays of speakers below or two the sides as they use that whole area for screen.
So, while you do get better placement, you will have that added muffling from the screen. Which is an impact, but a VERY minor one. Given the choice of AT or non-AT screens, I would always go non-AT.
It costs less, the screen will look better most of the time, the sound will be better in general.
A basic fixed frame Silver Ticket screen delivers a solid image for a fraction of the cost of other brands and is a solid way to go for a standard white screen.
But, when you go to AT screens, I would start and stop my search over at Seymour. They've been doing woven screens for years now and really lead the way in this technology. They will send you emails and samples or whatever to really help you decide exactly what is best for your situation and setup.
Keep in mind that if you intend to go 4K, that the screen matters more and more and that image size is going to matter a great deal. With a 12' viewing distance, a screen size of 150" diagonal isn't at all unreasonable. With the size of your room, I could see that being nearly a minimum screen size.
I've done a few AT screens along the way, but they've always been in smaller rooms where I couldn't build out the wall and still needed that wall space, so I've gone in-wall with an AT screen. Once with some good Martin Login in-walls that sounded very good. Another time with a cheaper setup and some Monoprice speakers which sounded... reasonable for the money.
I don't think the drop ceiling is any issue for rattling as long as it is properly installed. I'm not at all a fan of drop ceilings personally. They always just look cheap. I'd rather see a soffit around the theater. If offers some nice uplighting options as well as provides retro access for running new HDMI cabling
Revit quantity takeoff services or whatever other wiring you may need along the way. Not sure what the requirements are for a star field ceiling though, and that may be happier with a drop ceiling setup.