Or another idea is to put the whole deck in a tank and electrolytically de-rust the tank.
Electrolytic de-rusting will blast off all the rust and the paint and only uses washing soda, water and a little juice from the battery charger. It is a little slow but it beats the heck out of scraping and sanding or dealing with stripper and etch acid.
I was thinking that a mower deck might be a good place for a coat of epoxy. That is a whole lot tougher than paint.