Good electrical contact with the anode (positive of your power supply of the metal needed to be oxidized).
This would be hard to achieve with circuit boards, many of the circuits on the board do not connect, besides maybe the ground plane, also as the thin metal traces are oxidized the would break the connection to the rest of the circuit traces of the boards.
Maybe a copper screen might help as an anode tray , maybe a vibrating table to help keep better contact with the screen
Several metals most likely would be oxidized, not just the tin.
Depending on your goal you could use several different metals as the cathode; it would not be important for what you are trying to do here.
I would probably stay away from iron as it oxidizes so easily, I am not totally sure how all it would react in this caustic solution.
I know this is most likely an experiment, but I do not think it will work that well, just my guess, as I just think there would be a whole slew of problems which would not be easy to overcome, especially if you do not understand the electrolytic process in general, or how these metals would react in the hydroxide electrolyte.
Also this solution will need to be treated for waste when you are done experimenting with it, as any other toxic solution when recovering or refining metals, you could have a slew of hydroxide metals in that soup many of which can be pretty toxic mix.