Earlier quoted context omitted.
Federal loan rate history: http://www.finaid.org/loans/historicalrates.phtml I consolidated but I know that some of mine were at 6.8% fixed thanks to this lovely change: 2006-07: Replacement of separate variable in-school/grace and repayment rates on the Stafford Loan with a single fixed rate of 6.8%. Replacement of variable interest rates on the PLUS Loan with a fixed rate of 8.5% (FFELP) and 7.9% (DL).
If you don't mind, was refinancing a good move for you? What rate were you able to get it down to? We're at 6.8% right now.
Consolidation loans also offer a longer repayment timeframe I believe. In this way if you make the payment amount small but pay double, the extra will be entirely on the loan principal.
Back when I consolidated SoFi (and probably others) didn't exist. It might be worth comparing rates and terms with them as well.