Can you suggest 2 or 3 topical antiinflammatory creams that are proven to help sprains, either in research or in your practice?

Topicals. Voltaren (diclofenac) gel and PENNSAID are prescription nsaids and can be helpful.
Topical treatments. There are several options but I always encourage use of compounded medications at a certified compounding pharmacy. These are generally less expensive and gives me much more flexibility regarding what my patient needs (nsaid vs. Steroid, numbing medicine, etc.). Ask you doctor for options.