Does anyone know a way to take a spreadsheet full of information and turn it into a topology?

Hi all. Last year in college and as a networking intern. I'm looking for tricks, tips, and information here.

I've just been tasked with mapping the entirety of our campus access layer's connections up to our distro layer. This, from top to bottom, contains: 2 distro switches, 7 aggregate switches, 83 access switches.

I need to map every single connection (not really concerned with the "why" at the moment, more concern with the "how") between these devices. There are not cleanly organized anywhere - I simply have a list of there physical interfaces and each device's CDP information.

Aside from going through each device individually, drawing it's connections, and trying to remember where each one is the diagram whilst drawing future connections... how do I handle this without spending the next week or two drawing and redrawing lines?