Been testing a few things out and found some materials that seem to suggest that I may be on the right line of thought. Grabbing one of the physics professors at my university to see if he can give me advice and either confirm or deny that what I'm suggesting is in fact possible.

To restate, Unlike most approaches to factoring, my goal is not to get exact numbers but instead to use the frequency sweep to quickly narrow down the number of possible factors from N to a much smaller fraction of N which can then be computed via standard means. Like tuning the top string of a guitar by playing the bottom string and listening to the wobbles (almost exactly actually).

http://arxiv.org/pdf/quant-ph/0503228v1.pdf

This link is one of the papers I've been looking through that seems to confirm my general thoughts on the matter, but I intend to get a more educated opinion before I commit to this as my graduation project.

Emails will be sent out today, meeting with the profs should occur in a week or so depending on how busy they are.