Consult with and retain a probate lawyer in NJ, not NY, to negotiate a deal.
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What happens in NJ stays in NJ. Note, however, that yours and the executors' opinion may vary as to what's in the "best interests" of the beneficiaries. Presumably, if the executor doesn't act in bad faith, there's little you can do.
I may be guessing or not licensed in your state. No atty/client relationship exists.