Does the designated beneficiary get the insurance proceeds if someone else is named in a handwritten will but no change of beneficiary form was filed?

Yes.

Howevery, if the will specifically names the proceeds, then it will get confusing. You should probably get a lawyer and review case law.

For more info. see www.SteveShorr.com/life.htm

Whoever's name is on the will, gets all- but, depending on the amount, and complexity of the estate, this case usually ends up in probate, and at that time, you would have to show proof that you would be entitled to the payout. You will need a lawyer.