There are some great fan-designed 3D models, many very faithful to the original blueprints, that a snapshot could work quite well for a tabletop battle-grid. Credit always goes to the 3D modeler. I only add missing bits and a bit of colour. Search here for the full series.

This Constitution-class Engine Room creation is by ob1modeller. I think there are some differences from the canonical set, but here’s hoping it does the job.

TOS Constitution-class Engineering (PDF)