I have zero personal
experience growing in your conditions, but I'm thinking about how old Hawaiians dealt with their dry areas. Of
course plenty of their dry areas weren't cultivated, but according to diaries and ship logs, there was some that were. Those Hawaiians had no irrigation, but did develop water conservation methods which have recently been investigated and "rediscovered".
In my spot of the islands, the old Hawaiian culture used the Kama'oa plains to grow sweet potatoes in the moister dry areas and gourds in the drier sections. They didn't have pumpkins, but gourds are similar. Gourds were traditionally planted during the season of rains, and allowed to grow and mature in the dry period. Apparently this method worked.
Sweet potatoes were grown in prepared spots in the dry areas. The thought is that the farmer moved lava rocks and stacked them in such a way as to create depressed bowls a few feet across. Vegetation was piled into those bowls, mixed with whatever soil was there, and allowed to decompose for a period of time. Then a sweet potato plant was grown in that bowl. The growing vines were kept turned back into the bowl area so that all the tubers were confined to the bowl. When tubers were harvested, sometimes the plant was carefully removed and replanted. Other times more vegetation was added to the bowl and the cycle started all over again.
Both gourds and sweet potatoes were often grown along rock walls, on the leeward side of the wall. Rock walls were around 3 foot high, high
enough to discourage feral pigs. Generally the wall was 1 1/2 to 2 foot thick at its base. Hawaiians learned that the soil on the leeward side was moister and retained the moisture longer. Since growing along rock walks was so successful, the old Hawaiian field system has lots of walls running around and through them. The rock walls tend to capture moisture from not only rains, but from the air, storing it under itself in the soil below.
Mulch was used conserve water and also provide fertilizer. Hawaiian sugar cane leaves have been found to fix nitrogen right at the stage that Hawaiians used them for their mulching. Thus the plants benefited with not only a mulch, but with a nitrogen
boost at the same time. Without a constant mulch, soil moisture plummets due to tropical sun, near constant winds & breezes, and rocky soil.