Another option is a Home Equity Loan or Line of Credit.
Typically those can be done with no closing costs - the interest rate won't be quite as low, but fuckloads better than what you have now.
At my CU, 15 year term:
Refi: 2.75%, $3,400 in closing costs
HEL: 3.75%, $0 in closing costs.
Don't just sit around paying over 5%.