Quick answer. Probably not. Life insurance companies pay to the beneficiary designated on the policy unless there is some statutory provision to the contrary. (The statutory exceptions usually relate to disqualifying spouses as benficiaries in a divorce situation and these are rare.) If a designated beneficiary is deceased then the benefits go to the benficiaries heirs. Which in your case appears to be two Uncles and an Aunt.
Since it would appear the benfits go to your Uncles and Aunt, I'd accept whatever they may offer. However, I would also recommend before doing this you consult with a probate lawyer in your area. Good luck.
As you state, the heirs are the anunt and uncle, and these are the only parties to be paid. Whenever anyone has a delayed or a denied life insurance claim, they should retain a life insurance lawyer by googling "life insurance lawyer"...here....I did it for you.... www.InsuranceClaimLawFirm.com
John Lassen 1-877-252-4630