After reading your post I decided to check Ebay for listings of newspapers with coverage of the 1938 Hurricane. Listed for auction is a copy of The County Review from Riverhead NY. It's interesting to view some of the photos of the paper.
Have you ever checked at your local library for newspapers from that time?
Edit: Also came across this ebay listing
https://www.ebay.com/itm/1938-Newspaper-Photo-Book-WORCESTER-GAZETTE-New-England-Hurricane-Flood-Storm/233004700772?hash=item3640