In case anyone was wondering what i found regarding this question:

I posted my scenario on a chemistry forum, and unhappy it was confirmed that this is a chem not physics question. I was basically informed that for a real life scenario such as mine the best and fastest way to figure the time out is through trial and error. There are way too may variables such as viscocity, viscocity over time, surface area, cup thickness, material, heat coefficients, freezer area, placment of freon coils, and the list goes on.

Thanks again for contributing what you guys could. As always the members of AO continue to impress and facinate me with the wide range of knowledge you all posses.