For a large parcel, you can ship USPS Parcel Post or Priority Mail. Next, you have UPS Ground. or Fedex. You can check rates by logging on to websites like the US Post Office and get their rates for large parcels. The rates are determined by the distance, Hawaii is zone 8 and so higher costs apply.
Check the shipping websites. I was getting better deals with DHL and Airborne because they were #3 and #4. Check the different rates. The cheapest takes the longest to deliver and the other way, well you decide.