As always, talking to the grower proved to be enlightening. It turns out that a Tahitian squash (also known as melon squash) doesn't have to be used all at once. After the desired portion has been sliced off, the cut end will "heal" over, and the remainder of the squash can be stored, unrefrigerated. According to the farmer, the squash will keep for a couple of months this way.
Tahitian squash is related to butternut squash and has very sweet, bright orange flesh. It can baked and cooked like other winter squash or grated raw into salads.
Does anyone have experience storing and cooking this squash?
(Images: Emily Ho)