First of all I can't imagine what you go through on a daily basis. Sounds absolutely awful. I'm so sorry.
I'm genuinely curious, though, and this is not to downplay what you're going through, at all, but nearly all of the "please fill in all of the available space" type requests happen at points after which DAS will be useful. For example how do you cope with situations like at The Haunted Mansion pre-show, the Tower of Terror library, etc. It's the "large open room" type spaces where guests are often forced to huddle together to fit everyone in. It's exceedingly rare for cast members to be in standby queues asking guests to fill in the available space. By the same token, I'm surprised that LLs are any less dense than the standby lines, they just are often shorter and getting more people through per hour.
None of this is to doubt what you're going through, but I'm just trying to understand how DAS can be helpful in your case (and others like it) given the above.
I don't feel like you're downplaying anything and the more info I give, the more you can understand how I do my park days, which I can totally share. It's taken a while to find a routine so I'm pretty happy to discuss.
I can tell you about Haunted Mansion. Haunted Mansion CMs are the best about it. I am gently moved towards the back and positioned towards a wall so that my fiance can cover me. Once everyone else has left, then I'm taken onto the ride. There's always a CM there who will guide me to where I need to go next. I find Haunted Mansion CMs understand that wheelchairs are very much part of a person and you probably shouldn't be shaking them violently. This is the safest attraction for me and that seems odd because it's a giant room of people, but they're too distracted to smash into my chair. I see Haunted Mansion and I know that this is a safe ride for me.
CMs also take me through the back and I sometimes get to chitchat before I go to the preshow. They're counting how many people can fit in there and they know exactly where my chair can go for safety issues. Please be nice to Haunted Mansion CMs. They are my favorites for how well they've taken care of me and how safe they keep me.
Unfortunately I don't ride Tower of Terror very often. I've been pulled aside much like with Haunted Mansion and I'm the last person out after being placed in a little corner.
It's like airplane logic. I'm the last to leave. I'm out of the way so people don't step on me. And to be honest, the preshows distract people from getting handsy with my chair so these rides tend to be safer. I'm sure someone has been injured since never say never, but it's honestly been really great. I'm a broken record here but Haunted Mansion is the only ride I know I'm not going to get badly hurt on because someone decided to do something stupid.
Being merged into LLs aren't ideal, really. But they get me away from people behaving badly. 45 minutes with a dangerous person or two hours with a dangerous person. In my situation, what do you pick there? Clearly you go "no pain whatsoever" but really, we don't get what we want. I can only limit my exposure to stupid people.
That's harsh but that's how I have to live. It's counting how long I can endure someone being completely unbearable to me physically. That's every single day and not just Disney. It's scoping out the supermarket and making a good guess if someone's going to hit me with a cart. Again.
Sorry if this doesn't give enough information!