White screen error when migrating between servers
Issue solved.

I had not disabled all of the date sub-modules (Thanks Molot for making me double check this). I ensured they were all disabled, cleared caches and was then able to export the database and import it on the new server.

I did get some errors on the new install. Running update allowed me to see that workflow needed updating. Updating workflow and ensuring the right sub-modules were installed (You can't run Workflow Node and Workflow Field at the same time) fixed the other errors.

I was then able to re-enable the date module.