Until three years ago I worked for a company that accepted order forms filled out by hand. The hardware and software we used to scan the forms was very expensive and accuracy was probably no better than 95% - after proofing. And we knew what to expect in each field (name, address, city, state, zip) which allowed us to correct much of the information by matching it to public and commercial databases.
AFAIK handwriting recognition still lags way behind standard OCR. If your “scrawls” resemble block printing there may be hope. I used to take photos of white boards after meetings and later Evernote could find key words in the photos. Otherwise the solution you seek might require one of the AI solutions that are now becoming available to businesses.
I hope I’m out of date and someone else has a solution for you.