What Credit score do I need to get the best rate without a co-signer?

I have around $30K in private student loans that I had my brother co-sign with me on. I am paying Prime + 0% which is really nice, but I wanted to consolidate and use the LIBOR rate(which is lower then prime, I would save over 2K in 10 yrs by dropping just 1% point). I have what I think is a very good credit score (~760) and wanted to get the best rate and try to avoid asking my brother to co-sign again. Is my score high enough to go in alone without and co-signer and get the best rate? Thanks in advance.