We had a bermuda 30
We had a Bermuda 30, too. but of the Cheoy Lee variety.
The Icebox toploaded from the front of the cockpit and had an old fashioned freezer door inside the galley area. I think we bought the boat because we liked the cooler so much.
I found the problem wasn't the cockpit access, but the lack of insulation beneath the box. We used expanding foam to take care of that issue and it worked worderfully from then on, including two years in the Caribbean.