Have any of you sought reasonable accommodations for ADA at work?  How did it turn out for you?

Do you think a abrupt change in schedule by several hours and major disruption in routine is a good reason to request accommodations if this can trigger episodes and make you a crap employee? It would cause absolutely no hardship as another employee in an equal position is willing to do it instead. 

TL;DR Background if interested lol:

My employer has been nice about my issues for the most part and I have thrived at my job for the first time as a result. 

The issue is that I have thrived because I have a stable schedule and no major shift in routines. I specifically sought the type of job I have for the regular schedule and generally responsibilities. I work as an administrative assistant in a dermatology office but the organization as a whole has multiple offices. 

They fired some people at another speciality in our practice and they are requiring me to go over there “maybe for a few days and maybe for a few weeks”. I currently work 10am to 5:30pm. This would have me needing to get there at 7:30am and when I asked when I’d be leaving, the manager told me she didn’t know. That office is open until 8pm. There is another girl I am close with who works the front desk with me and she went yesterday and does not mind being the one who goes. They do everything very different in that office. Additionally, there were two people helping her yesterday and she doesn’t even get why she’s needed vs our office when we are way busier with way more duties. 

Their manager is, quite frankly, a bitch. My manager tried to talk to her and used the reasoning that they do a ton of COVID testing there and I could not get COVID because I take care of my mom and it would kill her. Her response was we wear masks and there’s hand sanitizer on the desk and this “is time to fight this”. She does not know about my issues. She is close friends with the upper manager who does and makes the final decisions. Their manager seems deadset on making me go just because she knows I don’t want to. 

Do you think simply asking that the other girl do it instead because the time and routine change will trigger  issues with my mood is a reasonable accommodation? I worry this will make me irritable and moody and out my otherwise great job in danger. I think it is worth asking the upper manager because she has been understanding and accommodating in other ways with me never specifically asking for anything ADA. They are close but she also has family working under her who only consider her a boss at work (mom and sister) who she still treats professionally at work and will not hesitate to discipline so I feel like she wouldn’t mind overriding her friend. But I will move to ADA and a letter from my psychiatrist if I have to but I am wondering if this is a reasonable accommodation in your eyes. Lol. 

Oh. And I ask for anything legal in emails. This upper manager recently assured me my job was not in danger and I have done great work in an email. IF I am terminated in close proximity to a request, I am planning to take that for unemployment and speaking to a lawyer. Obviously I don’t want it to come to that and I don’t tel them that but I’d rather keep my job than do that.