Scan the document and along with the best copy you get, put it in a safe deposit box at the bank. Make a full copy of your medical record as well. Scanning is fine too. Put that in the bank as well. Lots of sob stories about lost records. Don't be a lost record.
Many state and county veteran Assistance offices will hold a certified copy for you. VA will need it if they don't have it already. Ask specifically which copy (marked copies 1-4) they need. Once VA has it, you can download it through eBenefits website.