UX Approaches to Competitive Analysis for a University Branding/Communications Toolkit Website?

I'm being asked to do a "competitive analysis" for a university website that has communications and brand guidelines/resources. This is meant at as a solo project done in a few days, I don't have many resources at hand at the moment so user testing is out of the question.

The request was very broad and I was thinking of comparing our toolkit against other university's brand toolkits. Taking an initial look, the information architecture & site map could use some work...

What are some UX approaches/considerations I should take into account when reviewing our website and comparing it against other universities?