I have a black Spanish, and a celeste that when figs get very large they instantly rot after changing color! Why the celeste get weird soft and fall off, these trees are very well watered everyday to every 2nd day, and fertilized weekly, going nuts over here

Celeste ,do drop figs in NJ,because of our climate,i trialed 5 specimen before giving up.
Black Spanish might be too young,but,i also trialed a few and found ,they can't take rain while ripening,so no more Black Spanish for me.
It seem to me ,you grow the wrong cultivars for the NJ climate.
Get rid of them,if you want to be a fig gardener In NJ,and be successful,grow:
Improved Celeste (ORN)
Adriatic JH
Malta Black
St Anthony
Longue D'Aout
Negretta
For a start:Then once you enjoy your own ripe fruits,you can try other difficult to grow  cultivars,in NJ.

My first year Celeste did that last year, but less so this year. I think we both have the regular, old version of Celeste that is sensitive to over and underwatering, more so when young. Depending on the fertilizer, you might be over fertilizing as well.

Edit: just read Herman's post and it makes a lot more sense.