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Yes you don’t need grad school
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You definitely don’t need UNC. Nor do you need a CS degree - my nephew has worked for two of the biggest firms - and he’s got a poli sci degree from Arizona - but I digress. But you could achieve your goals from Kennesaw State quite frankly (just throwing a random name) - so I wouldn’t worry about a UNC vs. say Ohio State or Penn State or UMN, etc.
I asked about your stats because they will be used in transferring since your college record is short.
Honestly, given your goals, the where doesn’t matter - there are great large schools - like a UMN is urban - but it’s another large public - as would be Miami Ohio, Pitt, Arizona, etc. Arizona State is one of the tops in the country for analytics and bioinformatics - and Carey is a strong business school. it’d arguably be a better choice than UNC - you have to look deeper than the school name.
But if you liked Gtown, I get BC - but how about Villanova to stay in the religious bent or W&M for similar size. And Denver as a safety. Or LMU.
If you told me investment banking or consulting, I get the pedigree - but for a product manager or project manager - nope. And for CS, short of a top top school, I’m not sure the where matters.
Here’s another crazy thought - a school like RPI produces graduates that punch above their weight - but it’s very gender dominant (male).
You said USC is another UNC - so it seems an odd choice. LMU (very good) would be more along the lines of Gtown.
Mainly - if you’re going to transfer, you should do so to be happy.
But there seems to be zero reason (other than giving up quickly) to stay at UNC from a pedigree POV. In fact, NC State would be a better choice from the CS side.
Seems odd your family forced you to UNC for cost…but now are ok with costs…but that’s a bonus for you.
Good luck.