I noticed the probability values are extremely small. I also notice, there is a long horizontal segment at the end of the nonparametric estimate. I also have a feeling that it is probable that there is unlikely to have failures between 0 and 100.
Based on those observations, I suggest looking into two special types of distributions: Threshold distributions and Defective Subpopulation distributions. They are labelled as TH distributions, e.g. TH Lognormal, TH Weibull, etc. And DS distributions.