Good luck with that budget!
One thing to consider is water content. Papayas are very light. Not as light as, say melons, which are like 90% water, but still quite light. Mangos are somewhat denser, and things like sapotes and jackfruit are much denser. The ultimate dense fruit is dates.
Personally, I mostly go for lighter, more watery fruit in the summer and denser in the winter... but that's just me. Right now I've got sapodillas, slow-ripening persimmons, and durian.
Most tropical fruit has a few-month season, but papaya is a year-round phenomenon. Papaya is hands-down my favorite high-water-content fruit-- divine. I've found since eating a lot of fruit that my body rejects drinking water. The water naturally occurring in fruit seems more ideal than water from the tap (even good well water). And hydration is one of the big keys to feeling good; imo that's part of why eating fruit is important, and I eat more fruit than veggies.
Waiting until fruit is *truly ripe* is really, really ideal. It should melt in your melt. It can be eaten a couple days before true ripeness, but if you practice the virtue of patience you're rewarded in both how it tastes and how it makes you feel. Most folks don't wait until fruit is truly ripe, and thus they don't understand the full wonder of fruit.