Some accounts say the rivet is an interference fit.
If that's the case I'd be inclined to at least "try" to secure the piston in a vise, next to a flat plate laid across the jaws, allowing the end of the washer under the rivet to be a hair below the resting plate, then see if you can get a nail-pulling pry-bar under the rivet head, and pluck it out. Might be able to twist it out... BUT if that shears the head off you're forced to chuck it in a lathe and drill it out. While the latter is a good option, I'd still rather have the rivet come out intact, leaving behind its original hole that is not molested by a drilling operation.