You could always use R for the stats. But, I believe SPSS does work with screen readers.

Get as much of it as you can in tactiles and graphics don’t use just computers. Do it in person ask for a traditional class and get yourself a ti-Orion84

From someone who has gone through one bachelors degree already, I would say, going back to university should not be too much problem, but you need to make sure that your disability support service is able to convert class materials into accessible format for you. Personally when I took statistics class I am using NVDA along with math player and math type, since I run windows, so I don’t know how well VoiceOver can handle statistics stuff.
I think psychology is not a very resource intensive field, since I think it mostly involves reading and stuff. My first bachelors degree was kind of resource intensive since it involves math, accounting, finance and economics (I did a BBA in international business for my first bachelors degree BTW).

I work as an analyst at a big tech company and use VoiceOver. I would learn R. SPSS is supposed to be doable but I've heard mixed things about accessibility. I think your best bet if you have to create/interpret/read graphs is going to be R imo--it gives you more or less complete control without having to see anything.

My knowledge is a couple years out of date but I do remember that at the time I heard that people were using SPSS, although I did hear somewhat older versions worked better with a screenreader. I don't know if that has been fixed in the mean time, and my knowledge is about the Windows version, so not sure about the mac.

Python is a good general purpose programming language to pick up if that interests you at all, and I bring it up because it has libraries to parse large amounts of data and perform statistical calculations and analyses on that data.

If programming's not really y your thing but you're willing to learn syntax, R is specifically meant to do statistics and can be run from a commandline, is therefore accessible. Let's use R Now (LURN) is a good introductory guide on the topic.

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I sometimes work with big data, so I think that's probably kind of statistics? I don't know...

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I'd suggest teaching yourself some Python though. It's a pretty easy language to get the hang of, and is excellent for things such as statistics, machine learning, big data, et al.