I wouldn't. I doubt that you will get better than 3.74% interest rates. At least not enough to make it worthwhile. The lenders will nickel and dime you to death and all the interest you've paid to date got wasted when you start a new loan.
If you pay $1000 per month, you get your loan paid off in 10 years and you only spend $20,000 in interest over that 10 year period.
Then your house will be owned free and clear and (I'm here to tell you) there is nothing better than not having home loan payments. My house has been free and clear since I bought it for cash almost 20 years ago.
You can use this amortization calculator and play around with other figures.
Mortgage/Loan Calculator with Amortization Schedule