I love Peppers, both sweet and hot. For 35 yrs, I have raised over a dozen different types of peppers each summer.
The hotter it gets, the better the pepper plants love it. They do very well here in Oregon's 110 degree July to August Dog Days. During the dog days is when the Every Flower on the pepper will make a pepper.
Peppers also prefer slightly Alkaline soil, like the soil in Mexico and the Southwest where they are native to.
They are shriveling and dropping off because of lack of pollination. I don't know where you read they are self pollinating, but that is an error. They must be pollinated, and if you don't have Bees in your green house, get a cotton swab, and go from flower to flower pollinating them.
If you are not going to be saving your seeds, then you can cross pollinate them by using just one swab. If you want to start your own strains that become adapted to hydroponics, then use a separate swab for each species of pepper. Save the seeds from the best pepper, and use them next year, in a few years, you will have a strain adapted to your hydroponics specs.