That's pretty much what my commute is, and I don't have a shower at work, and one of my goals has been to minimize the complexity of the whole process.

That said, for me I wear work pants, but cycling shirts. Temps above 85, either shorts or at least change of underwear. I found that some underwear chaffs, found ones that work. I keep my own supply of body wipes in a less used bathroom.

I'm thinking of adding a few miles to my commute next year, which might up the effort just enough that I'll start packing my work clothes and riding in cycling gear. Am I slowly becoming a Fred?