Ohh, it's hard to feel sorry for you, Melissa! I live a mile from a nice beach, too, and my family are very unsympathetic when I say it's "cold" here in Florida. "Too cold for the beach, Mom?"
What about finding a large insulated cooler (you know, like what you take to the beach with drinks in it, only BIG). They make big ones for people who go fishing etc. If you could freeze something like milk or juice cartons with water in them on a regular basis, you might be able to keep the plants in a cooler cool enough (but not freezing) for a couple of months.
Here's another caveat to growing berries where you are - and I found this whilst trying to grow strawberries in my back yard. (I have no idea how the commercial growers do it, and I don't think I want to know, either) I got about one strawberry for every 10 that the birds, squirrels, bugs, slugs and raccoons got. If the local parrot population had found my garden, I'm sure I would not have seen a single berry.
So you run the risk of growing these wonderful raspberry plants, then having to fence, screen, and otherwise guard them until they're ready to pick. Or growing the much-missed delicacy and tasting one or two berries before the local wildlife developed the taste for them. Don't want to discourage you, but . . . it's a lot of trouble when you might just be able to import the fruit. Even if it costs you an arm and a leg to treat yourself once a year, it will be less than buying plants and going to all that fuss.