I am getting around 2.47 V. This is about what I want but there are still errors. When measuring the bridge voltage there is a voltage increase when the load cell is loaded but when measuring the op amp output there is no discernible change in voltage when loading the cell.
I assume you need more gain in your op-amp, or another gain stage as Terry suggested. But, you need to design your circuit so that you don't amplify that ~2.5V bias (or feed-in a lower bias and amplify it along with the signal).
I am running out of time on this project and am very worried at this point.
On a "big project", isn't there an electronics enginner available to help? And once you get this working, I'd build two of 'em. The last thing you need is for a custom ond-of-a-kind gizmo failing and shutting everything down!