Cucumbers will grow all year in the Kihei climate.
And, it's easy to get them to grow up a 6 foot trellis.
Japanese Climbing is the earliest cucumber I've grown and Marketmore is almost always a straight and picture perfect cucumber. Marketmore is promoted as being disease resistant but I haven't found it to be any more disease resistant than any of the others.
If the melon fly larvae and pickleworms become a serious problem, parthenocarpic varieties of cucumbers can be grown under light row covers. These are F1 hybrid cucumber seeds that produce only female flowers and don't require pollination. These types of cucumbers are commonly grown in greenhouses.