Emergency HEAP explicitly lists propane; my uncle in the Adirondacks got 150 gallons delivered next morning after approval. Submit the red-tag notice or gauge photo showing under 20%, plus propane invoice. They prioritize rural areas. Application takes 15 minutes if you scan docs ahead. Official page with propane vendor list:
https://www.utilityassistance.org/emergency-heap-ny/ – call the 800 number on the site; they’ll connect you to a participating supplier who bills the state.