Penn State World Campus and Drexel University Online seem to me to have very strong programs.
I’m looking to major in business, but if choose Penn State World Campus, I’ll have to choose to major in Psychology since I can’t complete the Internship in their business program due to my current career.
Which program would you choose?

A Bachelors degree in Psychology is pointless unless you intend to pursue either a PhD/PsyD or medical school.
At the Bachelors level, Business is a far better choice.