I still use my .edu 15 years later and it still works. I just dont want to deal with the headache of managing a domain, paying for it, switching hosting providers, etc. The edu address has always worked fine.
My university uses outlook and I use Thunderbird to access it. I would look into that. If you are worried about it being gmail and the privacy implications, I would say privacy doesnt really exist in email anyways. Any email you receive probably bounced through either a gmail or exchange server on the way to you anyways.