How To Settle Estate Gold Coin Collection

This is an interesting forum, so I thought I would pose a question.

I'm the trustee of an estate with a fairly sizeable collection of gold coins (about 100 total), including seven S. Gaudens Double Eagles and 15 Liberty Coronet Double Eagles.

I've checked the coins against a list in a coin magazine and don't think there are any extremely rare ones. While they are in plastic holders now, they were I think kept in a flannel bag for some 50 years and were originally bought for bullion purposes. None of them are certainly mint state, but at least probably VF-20 if I read it right (and I'm no expert). They don't seem extremely worn.

How would you go about finding the value of these coins, and selling them, and to do so in a way that won't get the various sides of the family mad at me? I'm reluctant to send them through the mail and live in far northern New York on the Canadian border.

Thanks much Tim